The way you broke this down was much better than how I was taught. You explained it in a way I could understand, and now I feel confident in ace-ing my test tomorrow. I only got 46% on my first try, and luckily I have a chance at a retest tomorrow. 100% here I come!
"Hurrdurr better than DrUmPhhhh" Political parties are like an absolute value function: They only give the illusion of a different result. They work together to the same ends. ;)
patrick, you make calculus so easy it's stupid. Whenever I need practice problems when I feel unconfident, I just go to your videos and practice. I just wanna kiss you irl man, even tho i'm a guy. I'm gonna ask my parents to support you on patreon man i love you dawg no homo
I learned at school that the limit of IxI existed only in right and left hand limit form. Thanks to your explanation, now I know the reason for it. Your videos are always valuable for those who seek mathematical knowledge.
For the last problem, the textbook (Stewart, Early Transcendentals, 7th edition) says limit does not exist. (problem nr 45, chapter 2.3 ). They say it doesn't exist, because the denominator cannot go to zero while the nominator does not. But when I graph it with wolfram, it does go to negative infinity. My math tutor says that it doesn't exist because the items in the bracket cancel out each other. Why is the inconsistency?
You know, I used to think the educational system was in shambles up until college, where dedicated professors built up the intellectual integrity of the individual. BULLSHIT. I'm in college and PatrickJMT has succeeded where teachers who are paid handsomely have failed. And IT'S FREE. Thank you, you've saved me from failing my finals :)
oh my god! I think you just saved me for my calculus final on thursday....my professor is convinced we should have learned this in high school and would not explain how to solve an absolute value to me, even when i asked. My high school teacher must have been slacking because I've never seen this before!! THANK YOU!
I've been watching you since I started Algebra II Honors Freshman year. I'm glad I came across your youtube, because of you, I make excellent math grades. Thank you so much & Keep up the good work! (:
I literally screamed when it hit me that the first example would equal "does not exist", when you began evaluting the limit from both sides. I didn't know math could make me do that.
Yes! I am literally doing, nearly, the exact problem (with limits), and couldn't remember if you could simplify that rational equal to |1|/1 or if you had to do something different. Thank you for making this!
I did badly in my courseworks once and your videos helped me to cover up alot during the finals and help me pass them. You should be knighted, like seriously.
+Max Boucher you can just basically use this method to remove the absolute values first, then once you have no abs value "signs" in your function, follow the videos of limits approaching infinity step by step.
You are just AWESOME!!! I don't know why I found you out at the end of semester... When I'm done with everything except for final...anyway... thanks!!!
Greetings!! Your videos have been so helpful and I was wondering if you could address the following problem: lim 2x-1/2x^3-x^2 x->0.5^- (from the left) the book solves it by first solving l2x-1l setting it to 2x-1 > or equal to 0 and 2x-1
Thank you very much for this free tutoring!!! Its a good refresher and slightly more descriptive than I learned in class. I always thought of the sign function for absolute values but never related 'x' as the function in the absolute value tern, this insight has helped immensely. Thank you and keep it up!!
Great Video as Always Thank You. At 6:00 how are we "allowed" to cancel (x-1)/(x-1) when the substition of 1 yields 0/0? I always get thrown off on accounting for 0's in a denominator and how to handle them Thank you
Wow! thank you so much! I am learning more here than in the classroom. I will be viewing your videos on calculus as I continue the class. Keep up the good work!
Oh my gosh your videos help me out so much especially in calculus (since I'm not the greatest at math).. thank you so much for explaining it in simple terms!
![Limit of absolute value functions [ lim |x^3 - x|/(x^3 - |x|) as x goes to 0 ]](http://i.ytimg.com/vi/nJ9lEolfVpU/mqdefault.jpg)
11 years ago I was 4, never expected that a video made when i was 4 could help me in my Calculus class later on :D
Bro you 15 doing calculus 😂
another 15 year old doing calc nice
What is the title of your math book that you are reading this year in school?
Me too 😂
Bruh I was 4 in 2009 too, lol. And here I am 12 years later, watching calculus videos.
At 9:41 "Two over x. That's just gonna be a shit- or a-a-stretch."
I died.
You're a math wizard, very clear, very expressive, and you make us love math!! I'm EXTREMELY grateful to you Mr. Patrick
The way you broke this down was much better than how I was taught. You explained it in a way I could understand, and now I feel confident in ace-ing my test tomorrow. I only got 46% on my first try, and luckily I have a chance at a retest tomorrow. 100% here I come!
PatrickJMT for President. There, I said it. #PatrickJMT2016
Better than trump
PatrickJMt will run the government with mathematical logic and function; pure governance!
"Hurrdurr better than DrUmPhhhh"
Political parties are like an absolute value function: They only give the illusion of a different result. They work together to the same ends. ;)
patrick, you make calculus so easy it's stupid. Whenever I need practice problems when I feel unconfident, I just go to your videos and practice. I just wanna kiss you irl man, even tho i'm a guy. I'm gonna ask my parents to support you on patreon man i love you dawg no homo
do you still stand by this
@@matthewanderson1916 i have to know too
William my man did you hit?
13 years later and it still is a fantastic video, thanks man!
Make that 14 years,
But who is differentiating
why am I so bad at calculus
0goodvibes0 did you pass? Because I know I won't
It's just a matter of setting a focus goal
Hassan Shahzad exactly
0goodvibes0 omg this still stands correct to this day...
because its entirely useless. Engineers don't even use it
I learned at school that the limit of IxI existed only in right and left hand limit form. Thanks to your explanation, now I know the reason for it.
Your videos are always valuable for those who seek mathematical knowledge.
I just learned what my teacher was trying to teach in a whole class in 10 mins. I love you
For the last problem, the textbook (Stewart, Early Transcendentals, 7th edition) says limit does not exist. (problem nr 45, chapter 2.3 ). They say it doesn't exist, because the denominator cannot go to zero while the nominator does not. But when I graph it with wolfram, it does go to negative infinity. My math tutor says that it doesn't exist because the items in the bracket cancel out each other. Why is the inconsistency?
@@chiragkx IT HELPS ME THANKS
Dang the internet is amazing. I don't think I could ever have an excuse to not learn something. Thanks for the help. You're a hero.
damn! this was exactly one of my homework problems! thank you so much, I not only got the answer right, but I learned how to get it correct. Thanks.
How's your homework
if the left hand limit and right hand limit are not the same, the limit does not exist. a limit can not have two different values.
You know, I used to think the educational system was in shambles up until college, where dedicated professors built up the intellectual integrity of the individual. BULLSHIT. I'm in college and PatrickJMT has succeeded where teachers who are paid handsomely have failed. And IT'S FREE. Thank you, you've saved me from failing my finals :)
@orton220 glad you liked this. you may also check out the playlists if you are interested
Wow you made it so easy thanks, you helped me more than my teacher who keeps rushing every lecture we have.
@iluvbigbootie i am not making it equal two different values, i am simply rewriting it as a piecewise function
From the bottom of my heart, thank you for helping me understand absolute value limits, my teacher is so ass and you actually explained it perfectly
@patrickJMT Then the world has lost a great math professor. You're a brilliant teacher. Thanks!!!
@TheMimi1984 dne means it does not exist as a finite number. infinity is more descriptive than to say dne.
You are my hero when it comes to calculus! Don't stop making videos.
Thank you so much Pat, I started my Calc class 3 weeks late and your videos REALLY helped me catch up on things.
wonderful! glad they helped. please spread the word!
oh my god! I think you just saved me for my calculus final on thursday....my professor is convinced we should have learned this in high school and would not explain how to solve an absolute value to me, even when i asked. My high school teacher must have been slacking because I've never seen this before!! THANK YOU!
this was a work of art
OMG! dude. ur a life saver.
i have a calculus exam tomorrow and you came up.
I've been watching you since I started Algebra II Honors Freshman year. I'm glad I came across your youtube, because of you, I make excellent math grades. Thank you so much & Keep up the good work! (:
glad i could help, come back any time! :)
Thank you, I would't be able to make it through my online calc class without your tutorials.
You are soo perfect as a teacher your students are the luckiest
Don't stop making these videos! You help a LOT of people!!
Thank you
I am from Iraq
I love you
@vip0IR no, it does not mean that at all. it just depend on the functions
Just wanted to say thank you for creating a very helpful video to anyone who struggled to understand absolute value in limits.
I literally screamed when it hit me that the first example would equal "does not exist", when you began evaluting the limit from both sides.
I didn't know math could make me do that.
I was struggling with this concept and found you through a Google search. Thanks for clearing this up for me, I feel much better now!
Felt relieved after seeing this video because now i understood more clearly. Thank you man!
Yes! I am literally doing, nearly, the exact problem (with limits), and couldn't remember if you could simplify that rational equal to |1|/1 or if you had to do something different. Thank you for making this!
I love how I can low key see your reflection in the white board :P
you are such an angel dude keep posting great explanations and more complicated examples
Thank you so much Patrick for your passion for math and your time. Keep it up you are very special!! God bless u
I did badly in my courseworks once and your videos helped me to cover up alot during the finals and help me pass them. You should be knighted, like seriously.
I didn't get it when my teacher tried to talk about it, but you made it so much more clear. Thank You.
helped me so much! i've got a calc 1 test today. i feel better now!
@urcool425 both of them are for sure out there, just do a search or look in the calculus 1 playlist on my channel
your videos saved my life thank you
11 years later and you still help
Man, you rock! This video is well made and explains exactly what I needed to know.
(plays air guitar)
You saved my Calculus grade. Thank you!
Does anybody know where there is a video of limits approaching infinity with absolute values????
+Max Boucher you can just basically use this method to remove the absolute values first, then once you have no abs value "signs" in your function, follow the videos of limits approaching infinity step by step.
Yoooow, Patrick, it's 2021 and I'm here watching your video. Thank youuuu sooo sooo muuuuch. ❤🇵🇭
Thanks!
I've been watching your videos to study for my AP exam. Thank you SO much. This really really helps. Keep it up. :D
thank you for being a little bit more thorough :) Ive been confused with this for a while
You are just AWESOME!!! I don't know why I found you out at the end of semester... When I'm done with everything except for final...anyway... thanks!!!
@Alexhauser23 you all are the future. get involved, don't be onlookers! that is how the world changes.
you're math videos make me love math like back in middle school days...cant find IVT theorem and Squeeze theorem stuff though.
Greetings!! Your videos have been so helpful and I was wondering if you could address the following problem:
lim 2x-1/2x^3-x^2
x->0.5^- (from the left)
the book solves it by first solving l2x-1l setting it to 2x-1 > or equal to 0 and 2x-1
Thank you very much for this free tutoring!!! Its a good refresher and slightly more descriptive than I learned in class. I always thought of the sign function for absolute values but never related 'x' as the function in the absolute value tern, this insight has helped immensely. Thank you and keep it up!!
I can honestly say that I love you man.
@nancybobancy101 u r very welcome : )
Bless you man. Got my paper in 1 hr and i didnt know anythin about limits of absolute value functions. Untill i came here mwuahahaha
It took me just 10 mins 11 seconds to understand what I couldn't figure out in two years 😂🙌🙌 thank you Patrick
Thanks! That was helpful.
Very helpful! I couldn't understand the adding the -1 part until I saw your video!
differentiation is the process by which we obtain a derivative
Thanks for holding my hand through Calculus Patrick.
YOU ARE MY SAVIOORR!!!!! MY CALC TEACHER DOESN'T TEACH THAT WAYYY!!!! THANK YOU SOOO MUUCCHH!!! 😍😍😍🙂🙂🙂☺☺☺😄😄😄😄😃😃😃
I've been tutoring math for years and students seem to understand me but you are in another league
thanks! :)
these videos are helping me pass calculus THANK YOU!
Great Video as Always Thank You.
At 6:00 how are we "allowed" to cancel (x-1)/(x-1) when the substition of 1 yields 0/0?
I always get thrown off on accounting for 0's in a denominator and how to handle them
Thank you
Thanks, i just started limits and this helped me a ton!
Anyone else hear the same thing as I do @ 9:43 ?
he meant to say Shift but it came off his mouth. Slip Of Tongue
Johnny Nguyen TEEMO
lol
Wow! thank you so much! I am learning more here than in the classroom. I will be viewing your videos on calculus as I continue the class. Keep up the good work!
I love you so much! I could not get this at all in class but totally made sense how you explained it. Thank you so much!
one of the very few videos i genuinely like, and favorite!!
This video answered so many questions. Thank you so much
Muito obrigado! Thank u so much! I didn't find no brazilian video about this case of limit.
Thank you very much for putting some clarity on the absolute value limit situation. As usual thank you for your dedication.
I'm studying advanced math
Your video is very helpful, easy to understand
Thanks a lot.
@khinlin glad u like the vids ; )
You explain it better than my professor who has been teaching calculus (in the same college mind you) for 15 years. I laugh on his lapel!
You did something my lazy teacher would never....thanks a lot
thanks man..your videos will certainly make me pass first year of civil engineering
Thanks a lot from 2009 until 2018!
@MattyHild masters, yes
awesome videos man, good review for my final exam tomorrow!
Oh my gosh your videos help me out so much especially in calculus (since I'm not the greatest at math).. thank you so much for explaining it in simple terms!
on the internet, everyone hates everything if it is not 100% what the agree with or want to see/hear.
best math teacher ever !
Thank you so much! Still helping me out 4,675 days later
Thank you so much for making it a lot less complicated.
Great vids as always, keep bringing them and we will keep watching.
i liked this video because you did an exact problem from my homework! thank youu
Thank you so much for this video, it really clarified everything my teacher was trying to teach.
thank you for your help i was really lost on the absolute value and now i know where to come whn i am lost
papa bless you good sir, you probably just saved my calc grade
hello
you just saved my butt on my test, thanks man
@MarvelsofaLifetime yep, that would work too!
The second problem you did was the same exact problem I was stuck on. Thank you so much. I definitely understood it!