@Illinium dumb ass that means if we get low marks we drop out of school then they lose profit that means they can't make money by making us dumber, and when a population is dumb then no job opportunities that means a lot are unemployed that means bad economy that means the government would never pay teachers to make us dumber because it would lead to bankruptcy then anarchy that means conspiracy theorist are drop out college students that also want others to drop out because they feel the more the merrier.
Mainly due to most universities now a days being an absolute bureaucratic unit. Classes are way too large and too fast. My teacher assigns homework that is extemly difficult and I usually have to look up the answer so I don't get decent practice. The questions on the test are different than the notes making the tests difficult. Here he explains everything we need to know not confined to a cirriculum. Tbh I think University is obsolete. Patrick's (and thenewbostons) videos proove this to me. I'm only in it because some executive in an office says I need a peice of paper to have a job.
@@hotandsillycinnamonrollget6697 No they're not, you're not just studying hard. In college you have to study hard and if you can't keep up then that's your problem. Some universities even offer free tutorials, you have to utilize what's already at hand. Universities have entrance exams and if you passed it then you have to keep up with the standard.
Life saver. my teacher is a horrible explainer. He knows his calculus very very well, but his explaining leaves a lot to be desired. Thank you for this!
OMG I was cried sooo hard because I totally did not get this !!! but now I can be at ease go to bed after watching your video!!! it prepared me for my test!! Thank you very much
Your videos are wonderful, keep it up please. I just started taking calc and i have been having a lot of trouble. With the online homework i don't understand why i am getting the answers right but your videos help me understand so much.
this video helped a lot...i actually caught your mistake right before the little comment bubble you put popped up and confirmed it. im taking calc 1 this semester in my college and this is the 3rd video of yours that has been a great help. keep up the great work! thanks a lot!
+patrickJMT fast question if the number on top was negative and the 0 on the bottom was also negative does that make the infinity positive? because my doctor wrote it negative infinity
hi this is the first comment i am posting after having viewed three of your slides.... permutations , combinations and even this one....... i had not learnt them till date but spending around half an hour with you has helped me a great deal.... greatly indebted.... is this your hobby .. because you are so good at it ???
Thank you very much!! When I get calculus ADD while watching this it's so useful to be able to rewind and play again. Unlike getting calculus ADD in class where I miss ten minutes and don't understand the entire lecture!!
What I like I about your video compared to any of the other ones in youtube is.. Your videos are SIMPLE, they have just the right amount of material and info.. Nothing less and nothing more.. And something to find out by oneself.. :) I still don't understand why you weren't selected for the live tutoring program by youtube.. Probably because of the low subscribers.. You here that people starting spreading the message!! We need to get this guy and his channel KNOWN!!!
Can you please make another video on infinite limits with more complicated examples such as the function of x containing the absolute value of x? Your videos are so so so helpful, thank you!
am already BSc .........three years back now i have a test to appear in calculus.......and totally blank in ir But Sir thank you very mush with all the due respects and reverance........your vids are a priceless Hazrat Ali (R.A) said : A person who taught you One Word is Your Teacher.....You are my teacher now...........
@pssurfer7 yes, she was doing 'limits at infinity' - that is, when the independent variable (x) becomes arbitrarily large (goes to positive or negative infinity). The problems I do are often called infinite limits because the dependent variable (y) either goes to positive or negative infinity.
i hope your video's will save me.. im learning more from you than my prof. I'll have my final exam tomorrow, i have to get 51/70 to pass the subject. if i fail, i have to repeat it next yr, which will cause me to delay 1 yr in college.
dude THANK YOU!. i got everything in calculus this far except chapter 1 which happened to be limits... and my common exam in 3 days is only on chapter 1 (even though the teacher said it will be on all 11 we learned lol) and now i think i get it. i was especially confused with -infinity and positive and the small plus/minus sign, but now i get it :D. Thxxxxxx
Patrick you could, like my teacher, refer to the denominator (what it will end up equaling) as a + or - SMIDGE. Meaning like if u have 5.001-5 you will have a + smidge when approaching from the right..so its (+) infinity since all numbers beyond 5 will create a + number
When does one attempt to find the left limit and right limit? Is it when they ask you if the function is continuous? How about simplifying, factoring, and using conjugates. Is that when you are asked to evaluate?
dude seriously thank you so much.. this was understandable because you defined why these are the way they are and then run through it step by step as to train my brain on the way you think. i feel like i have hope for tomorrow's test now!
When you calculate infinite limits, can you take the decimal of the x value and convert it to a fraction, and then can you leave your y value in fractional form? For example if you have to evaluate 5.5 can you convert to 55/10 and then do 6÷55/10 to get the fractional answer?
Thanks for your reply. You're right, We're done with limits @ school, So I had to double check what you said and its true, I may have entered some wierd data on the math software last time I used it. Thanks again.
I rewatched that problem like 4 times because I didn't notice the note haha .I was trying to figure out how the hell that turned positive! but basically, x/0 = + or - infinite?
Your approach defining infinity in relation to limits could not be simpler than that....Great job on it. OBTW, Got the book already, my son already said it great book...will give it to the other son in college taking calculus. Again, great job.
i was trying to figure out how you brought + (INfinity in start) i watched so many times that how + and - gives _ LOL>>.but you corrected it..thanks for an awesoem video.
Are you a grad student / professor? You must be some sort of teacher, as your videos are super useful (even for undergrad math majors XD) I was refreshing my knowledge so I could tutor somebody and your videos have been a great help. I'll gladly watch the commercials if you get a pay check for it lol
+ infinity is a shorthand for being able to make the value of the expression in question as large as we want it to be, by taking x closer and closer to the limiting value...
Saying positive zero is an cool way to teach it... I like what my calc teacher says, "we're dividing six by TINY positive numbers! Something constant and positive divided by a TINIER and TINIER positive number is a HUGE positive number." (approaching positive infinity) Haha
For the last problem when checking numbers near 5 is the reason you only look at the x^2 because it has the most significant changes to the value of the function?
when he did the first limit I was concerned because a negative over a positive should be a negative, but he fixed it so I felt good that I was right for once
@Mikelevay yes, very sorry about the ads. trying to get rid of the ones that happen in the middle - i do not want them there. yes, i am getting a little bit of $. sort of torn about having th ads, but it means i get a small paycheck which gives me more time to make more videos so i hope it is good in the long run for everyone.
To The Summarizer. I'm surprised you haven't been corrected about thinking you found a mistake. Have another think and return your cookie..... patrickJMT is approaching 5, you are going further away.
Patrick - "Post your 80 million comments about my sloppy notation. The solution is correct" Also Patrick - "The solution is in fact not correct, I have made a mistake"
damn it man you saved me from complete confusion, thanks for this great video, I got a limits quiz tomorrow and ill def use your way of approaching it.
Hi. Um, I have a question. I solved your last example using CALCULUS SOLVED on my PC (math software). Anyway, I solved it and the answer came out as THE LIMIT DOES NOT EXIST. I understan the reason behind both answers (your's and the computer's) and how to get there. My question is this. If on my next test, I have to solve a limit like this one, what "road" should I take. Both answers make a lot of sense, and yet, they are completely diferent.
![Seungmin "그렇게, 천천히, 우리(As we are)" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/kAzmhLHePqU/mqdefault.jpg)
does youtube recognize that your videos are raising grades and not killing brain cells like most other videos, GIVE THIS MAN A PRIZE
So basically, base on the comments, RUclips tutorials > Our Calculus Teachers.
Heck even my calculus prof watches RUclips videos because they explain better than the books, hence they can review better on RUclips
Definitely. My calc teacher constantly gives us Brian McLogan videos to watch before class and to help with studying.
100%
is it me or is the video really laggy?
atleast his voice is clear
Laggy af
this video is from 2009. what do you expect
it's low fps not laggy
Choppy or low fps. Not lag. Be precise with your thoughts and language.
why do profs mess up our brains with complicated words when it can be as simple as this.......
Blame the dictionary HAHAHA!
I actually thought this was a little more complicated than it was taught to me at school.
11:15 I knew it I thought I was going crazy!!! I knew it was negative infinity
yes!! negative on top positive on bottom ==> negative
Answer at 10:00 should be negative infinity
exactly
at 11:30 he corrects himself.
Gave me a fucking heart attack when you mistakenly said it was positive infinity
FOSology same hahahahaha
Same 😂
+glyza serra hahhahahaa same
lol me toooo
Why did you explain this better than my teacher in 12 minutes then my teacher did in 3, 90 minute classes
LOL I agree though if you go seek your teacher afterwards they will do a good job
nO TURDFACE. They are on a schedule and they have to keep up with it. Stop with the shitty conspiracy theories.
@Illinium dumb ass that means if we get low marks we drop out of school then they lose profit that means they can't make money by making us dumber, and when a population is dumb then no job opportunities that means a lot are unemployed that means bad economy that means the government would never pay teachers to make us dumber because it would lead to bankruptcy then anarchy that means conspiracy theorist are drop out college students that also want others to drop out because they feel the more the merrier.
Mainly due to most universities now a days being an absolute bureaucratic unit. Classes are way too large and too fast. My teacher assigns homework that is extemly difficult and I usually have to look up the answer so I don't get decent practice. The questions on the test are different than the notes making the tests difficult. Here he explains everything we need to know not confined to a cirriculum. Tbh I think University is obsolete. Patrick's (and thenewbostons) videos proove this to me. I'm only in it because some executive in an office says I need a peice of paper to have a job.
@@hotandsillycinnamonrollget6697 No they're not, you're not just studying hard. In college you have to study hard and if you can't keep up then that's your problem. Some universities even offer free tutorials, you have to utilize what's already at hand. Universities have entrance exams and if you passed it then you have to keep up with the standard.
even the profs at my internationally recognized university dont teach so well as you do...
Salute you...
Helping me be an engineer for two years :)
And now?
Life saver. my teacher is a horrible explainer. He knows his calculus very very well, but his explaining leaves a lot to be desired. Thank you for this!
@dragonflar8 that is correct
Thanks man, you just did a better job explaining limits in 12 mins than my teacher is able to in 50 mins.
@steverock85 yes, everyone complains. but they do not complain about the fact that everything on youtube is FREE! : )
OMG I was cried sooo hard because I totally did not get this !!! but now I can be at ease go to bed after watching your video!!! it prepared me for my test!! Thank you very much
came into this wondering how much a 12 minute video could help, came out of it wondering where you've been all my life
My man wiping boards with his hands for us what a hero.
Your videos are wonderful, keep it up please. I just started taking calc and i have been having a lot of trouble. With the online homework i don't understand why i am getting the answers right but your videos help me understand so much.
this video helped a lot...i actually caught your mistake right before the little comment bubble you put popped up and confirmed it. im taking calc 1 this semester in my college and this is the 3rd video of yours that has been a great help. keep up the great work! thanks a lot!
@RipplingSHockWave i have no idea what you are trying to say, but i am glad u like my math
The main problem I had was figuring out whether something was positive infinity or negative infinity. This video cleared it up
Thanks
Thank yoooou so much ,i dont know What would I do without this video
+Raghad Sama (Raghad65x) happy i could help you :)
+patrickJMT fast question if the number on top was negative and the 0 on the bottom was also negative does that make the infinity positive? because my doctor wrote it negative infinity
+Nader Srouji there is not negative zero in math it is just zero
Hadi Abadi not negative 0
But 0-
+Hadi Abadi even if you multiply the zero by negative the answer would be zero NOT negative zero
hi this is the first comment i am posting after having viewed three of your slides....
permutations , combinations and even this one.......
i had not learnt them till date but spending around half an hour with you has helped me a great deal....
greatly indebted....
is this your hobby .. because you are so good at it ???
You deserve a Nobel peace prize in Math for making it more accessible to everyone. Your videos get 4!thumbs up! (I included my toes)
Thank you very much!! When I get calculus ADD while watching this it's so useful to be able to rewind and play again. Unlike getting calculus ADD in class where I miss ten minutes and don't understand the entire lecture!!
What I like I about your video compared to any of the other ones in youtube is..
Your videos are SIMPLE, they have just the right amount of material and info..
Nothing less and nothing more..
And something to find out by oneself..
:)
I still don't understand why you weren't selected for the live tutoring program by youtube..
Probably because of the low subscribers..
You here that people starting spreading the message!!
We need to get this guy and his channel KNOWN!!!
Can you please make another video on infinite limits with more complicated examples such as the function of x containing the absolute value of x?
Your videos are so so so helpful, thank you!
Patrick you are an angel sent by the mathematical gods, god bless your soul.
am already BSc .........three years back
now i have a test to appear in calculus.......and totally blank in ir
But Sir thank you very mush with all the due respects and reverance........your vids are a priceless
Hazrat Ali (R.A) said : A person who taught you One Word is Your Teacher.....You are my teacher now...........
Your videos are amazing, they have helped me so much! I have been paying for a tutor yet I feel I am benefiting way more from your videos! :)
@pssurfer7 yes, she was doing 'limits at infinity' - that is, when the independent variable (x) becomes arbitrarily large (goes to positive or negative infinity). The problems I do are often called infinite limits because the dependent variable (y) either goes to positive or negative infinity.
You are saving my life as I cram for my AP Exam.
Who else has their exam in 4 hours?
Haahaha exactly 4 hours loool
in 1h30min lol final exam :\
10 hrs left !! wish me luck.
ye
It’s 830 am and the test is at 1pm lmao nice
It's definitely helpful that you're going slow and taking the time to show your thought process for this whole thing! Thanks :)
i hope your video's will save me.. im learning more from you than my prof. I'll have my final exam tomorrow, i have to get 51/70 to pass the subject. if i fail, i have to repeat it next yr, which will cause me to delay 1 yr in college.
Great video
Where would I be without you Patrick?
unlike my teacher, you never use old, unreadable markers. that's what makes you different
from all the students cramming for finals, thank you
@jinlane correct.
@martialrockarts2 u r very welcome
Thanks so much! Idk why everyone is crazy about Khan Academy, you are so much better!! Can't thank you enough!
You are my hero.--Your use of notation is sublime. You are an exceptional mathematician.
hey patrick....u r d best....u've really got this unintuitive "infinite limits' in ma head....thnx...
what a mind-bogglingly straight forward explanation of limits. that beat a sem of sngl variable calc. thanks...
Amazing lesson you could easily replace all the calculus teachers at my school... Thanks, I have just mastered limits!
dude THANK YOU!. i got everything in calculus this far except chapter 1 which happened to be limits... and my common exam in 3 days is only on chapter 1 (even though the teacher said it will be on all 11 we learned lol) and now i think i get it. i was especially confused with -infinity and positive and the small plus/minus sign, but now i get it :D. Thxxxxxx
i got a 98 on my math test after watching all of your limit videos (never got over a 82 in math bfore this) thank you so so so much
come back any time :) i am always here!
you're awesome dude! I'm pretty much fluent with limits but I still watch your vids everytime I have tests coming up! best revision method ever!
@DakotaWiggles okie dokie
Patrick you could, like my teacher, refer to the denominator (what it will end up equaling) as a + or - SMIDGE. Meaning like if u have 5.001-5 you will have a + smidge when approaching from the right..so its (+) infinity since all numbers beyond 5 will create a + number
@nightmare5349 i am not sure what that is supposed to mean.
When does one attempt to find the left limit and right limit? Is it when they ask you if the function is continuous? How about simplifying, factoring, and using conjugates. Is that when you are asked to evaluate?
I reached college without knowing this and now I'm suffering. Thank you so much for your videos!
dude seriously thank you so much.. this was understandable because you defined why these are the way they are and then run through it step by step as to train my brain on the way you think. i feel like i have hope for tomorrow's test now!
When you calculate infinite limits, can you take the decimal of the x value and convert it to a fraction, and then can you leave your y value in fractional form? For example if you have to evaluate 5.5 can you convert to 55/10 and then do 6÷55/10 to get the fractional answer?
i think you will use (0.9,0.99,0.999) instead of (0.1,0.01,0.001) if its from the left
Thanks for your reply. You're right, We're done with limits @ school, So I had to double check what you said and its true, I may have entered some wierd data on the math software last time I used it. Thanks again.
I rewatched that problem like 4 times because I didn't notice the note haha .I was trying to figure out how the hell that turned positive!
but basically, x/0 = + or - infinite?
thanks a zillion! you have no idea how helpful these vids are! Thanks again!!!
@kpxflameboy ok, i was just messing with you - it is laggy!
Your approach defining infinity in relation to limits could not be simpler than that....Great job on it. OBTW, Got the book already, my son already said it great book...will give it to the other son in college taking calculus. Again, great job.
thanks :)
i was trying to figure out how you brought + (INfinity in start) i watched so many times that how + and - gives _ LOL>>.but you corrected it..thanks for an awesoem video.
you are so damn right. the information is free and it is out there
thanks, i appreciate the kind words
@zabsem i do not think i am much different from most
thank you so much, greetings from san salvador, el salvador!
@chintoo266 glad you like the vids : ) good luck in your studies!
I love your videos, very helpful I wish I can have you as my professor 🙏🏼❤️❤️❤️❤️😭
this helped me alot in my quest for a great nut and mathmatics
@lucuador1992 yes
Are you a grad student / professor? You must be some sort of teacher, as your videos are super useful (even for undergrad math majors XD) I was refreshing my knowledge so I could tutor somebody and your videos have been a great help. I'll gladly watch the commercials if you get a pay check for it lol
+ infinity is a shorthand for being able to make the value of the expression in question as large as we want it to be, by taking x closer and closer to the limiting value...
10:30 isnt the second question (under the scribbled one), negative infinity?
You are a lifesaver! man good job and thanks for being my tutor :D definitely subscribed ^^
schooled my math teacher in an argument. thanks to this video.
Thank you so much, This made so much more sense than my book.
Saying positive zero is an cool way to teach it... I like what my calc teacher says, "we're dividing six by TINY positive numbers! Something constant and positive divided by a TINIER and TINIER positive number is a HUGE positive number." (approaching positive infinity) Haha
mid terms tomrow and u saved my grades ty :)
@gotmituns what mistake?
Thank you so much! I shall donate once I graduate!!
For the last problem when checking numbers near 5 is the reason you only look at the x^2 because it has the most significant changes to the value of the function?
thanks for this vid! im takin calc this semester and you do a really good job of explaining it so simply. thanks :D
@erikationofkita glad it helped : )
i really like how simple you teach thanks alot
I
dne. they are all dne if the limit is not finite.
About to take my calc final... thanks patrick.
All your videos really did help me a lot for i had a quiz today and it helped me! Thank you kind sir! God bless you :)
Your videos are of such great help! Thank you for doing this and for free. Thank You soooooooooo much!
your video helps me to get a good grade in mid term, thx!
Thank you Patrick, good to see you, im Glad your back, hope you doing well.
when he did the first limit I was concerned because a negative over a positive should be a negative, but he fixed it so I felt good that I was right for once
Thank you so much for all of your videos! You're helping me pass my calculus final. :)
Lol just saw an ad for math tutor help, no thanks pat does the trick
Thanx! The idea that limit of division by zero is infinity took me two days to realize, very much not intuitive at all.
@Mikelevay yes, very sorry about the ads. trying to get rid of the ones that happen in the middle - i do not want them there. yes, i am getting a little bit of $. sort of torn about having th ads, but it means i get a small paycheck which gives me more time to make more videos so i hope it is good in the long run for everyone.
To The Summarizer. I'm surprised you haven't been corrected about thinking you found a mistake. Have another think and return your cookie..... patrickJMT is approaching 5, you are going further away.
got a midterm in half an hour, lets see how i do...
i hope it went well! if nothing else, at least it is over.
it went pretty well thanks to your videos! i watched about 20 of them while studying!
graphing in math
me too
Patrick - "Post your 80 million comments about my sloppy notation. The solution is correct"
Also Patrick - "The solution is in fact not correct, I have made a mistake"
damn it man you saved me from complete confusion, thanks for this great video, I got a limits quiz tomorrow and ill def use your way of approaching it.
Hi. Um, I have a question. I solved your last example using CALCULUS SOLVED on my PC (math software). Anyway, I solved it and the answer came out as THE LIMIT DOES NOT EXIST. I understan the reason behind both answers (your's and the computer's) and how to get there. My question is this. If on my next test, I have to solve a limit like this one, what "road" should I take. Both answers make a lot of sense, and yet, they are completely diferent.