Nick M Yeah, Only if those stupid professors stopped using those "Technical Terms" and explained us in "Simple Terms" like this guy did, life would be easier.
Omg! He broke down limits and continuity in 7 minutes and I actually understood it! Prior to this, it has taken me weeks trying to understand but to no avail. Wow!
@blueovaltrucks Thanks! g(x) refers to a "function", and we could have used f(x) or j(x) or h(x) instead, and it wouldn't change anything. The "function" is both algebraic and has a graph, so here you can look at the "graph of g(x)", meaning the graph of the function. Hope that helps!
Phenomenal explanation. I'm currently teaching myself Calculus using "Calculus for dummies". After reading the chapter on Limits and Continuity, and then viewing this video, I'd say I have a good broad understanding on the topic. Thanks
the title stays true to its meaning ..this actually the best definition of limits i have seen so far, i learned a lot of things and it cleared out my confusion, thank you!!
Loved it. !! awesome....another aspect of limits clearly defined and demonstrated,,very thankful for demystifying a hard concept. a5Star job..thanks again !!
@hameed That's a great question! Whether or not a limit exists ALWAYS depends on the x value - whether or not the function is piecewise. As the video says, for CONTINUOUS functions, the limit at any given x value will be = f(x). Piecewise functions can be continuous; the two that we happened to draw in this video were discontinuous, and so that's why the limits DONT exist ONLY at those specific x values. Limits existed on the continuous PARTS of those piecewise function. Hope that helps!
@blakknwytt Excellent question! There is no y value for x = 3 because there is a hole. If instead it were a smooth curve, then you're right, the y value at 3 would equal 4. A "hole" literally means there is a gap on the function. So when x = 3, there is no y value at all. But when x = 2.99999, there is a y value, 3.99999 (so basically 4). And when x=3.00001, there is a y value, 4.00001 (basically 4). So the limit at x =3 is 4, but at x =3 there's no exact y value because there is a hole
Very VERY much easier to understand then by reading the examples given to you out of my Calculus textbook. The text book just makes everything more complicated and i am unable to have teaching hours because my schedule makes that nearly impossible to meet with my professors. You have my deepest thanks from a football player at University of Texas at Austin for making the first chapters much easier to comprehend.
THANK YOU SO MUCH FOR THIS VIDEO!!!! Our teacher talks so fast thats why i cant understand her. Kudos to your teaching!!! ❤️ i understand everything now
@lilmisskee245 I don't know if your question has been answered but when there's a hole there's still a limit, there just wouldn't be an actual value, f(x) wouldn't exist. If there was both a hole and a filled in dot, the hole would be the limit and the dot would be the actual value so they would be different
You mean to tell me I didn’t understand limits because I could not comprehend the concept that: 1. Limits are not restricted to the point actually existing on the function, only if it can be approached from the left and right sides on that function And 2. A one sided limit has nothing to do with whether the point exists in the function, only if it can be approached on the function from the + or - side Fuck. That’s a really dumb reason for me to be failing this class rn. Thank you thank you thank you.
Well such people seem to get the point across and make difficult concepts easier to understand so I'm not complaining. Also this sort of method of teaching seems to be used in most places around the world like Japan, for instance, which many can agree on being one of the world's hotspots for new and innovative ideas.
thank you so much! im self tutoring myself with my old edition calc book (so id have less difficulty when i get back to school) an i never got what the lim was... now thanks to you, i do! i wish you could be my tutor!
as far as i understood the discontinous curve drawn does not represent the equation g(x)=3 as the equation means that when the value of x approches 4 then f(x) should approach 3 but in the curve its vice versa .
@SwanPrncss I know! I actually had him for a tutor in real life. He calls it "Translating from Math to English", and right now he's doing a Ph.D. in Education. Hopefully he teaches other tutors how to do that.
@blueovaltrucks Actually it should be undefined. Whenever it's talking about the exact value of the function, you use "undefined", and whenever you are talking about the limit, you use "Does Not Exist". So in that case at 3:50, I should have used undefined. But earlier when I used limit, DNE should be used. Hope that helps!
1:07 - so suppose if for y=sqrt(x) when x approach 0 the limit exist. what happens with the limit from the left? or you say that there is no limit for sqrt when x ->0?
You're right, there's no limit for y=sqrt(x) simply from that the function is not continuous to its left, and therefore cannot have a limit inherently. This is only true for R space (with real numbers) however.
From the left it definitely approaches 2, but from the right - you have to look at where x=2.01 (or some number a bit to the right of X=2). And there we can see that the Y-Value is actually Y=1. Does that make sense? And the limit is what the Y-Value is.
It's really easy to understand such tough concept of limit by u sir....thanks alot. upload more videos of class BSC mathematics. so that it will be easier for me to understand any concept in the blink of an eye.
So do you use limits to graph? Because every video I've seen so far already has the graph, and the limits just describe the discontinuity in the graph. You have to be able to graph with them or else they seem kind of pointless.
Why don't professors explain stuff like this? I pay ridiculous tuition just to come home and watch youtube lectures instead.
+Austin Texas we pay all this money to get a piece of paper from the university saying we did the work
They think we know already . LoL
Yah and then when we get to higher level course , they look at us and say "u were suppose to learn this in cal 1".....
Nick M Yeah, Only if those stupid professors stopped using those "Technical Terms" and explained us in "Simple Terms" like this guy did, life would be easier.
yeah ...... very
I love it when he says: "what does that actually mean," and explains it...soooo much clearer
i know right
Omg! He broke down limits and continuity in 7 minutes and I actually understood it! Prior to this, it has taken me weeks trying to understand but to no avail. Wow!
It takes minutes understand regardless of who teaches.It is extremely easy.
Musti lmao
Aniket Ghosh Apparantly it wasnt very easy for you if youre on this video
i really don't understand why teachers explan things in a boring way instead making it interesting like this guy did...thanks
SO clear! thank you!!! I wish i would have seen this back in January when class started...
I feel like I have just been hit by a bolt of Noetic lightning. Thank you!
I just understood this so much better. you taught me in 7 mins what my teacher failed to do in a week THANKS SO MUCH
You’re watching a master at work
Im glad that I come here after 12 years
@blueovaltrucks Thanks!
g(x) refers to a "function", and we could have used f(x) or j(x) or h(x) instead, and it wouldn't change anything. The "function" is both algebraic and has a graph, so here you can look at the "graph of g(x)", meaning the graph of the function. Hope that helps!
They say a person really knows a subject when he can explain it clearly, and you sir know this stuff! thanks for your help
i learned more in this video than i did in a month of ap calculus. WHAT.
instant sub
This was so helpful. Taking a six week course on calculus 1, it goes so quick, the simplified explanations are much appreciated!
Phenomenal explanation. I'm currently teaching myself Calculus using "Calculus for dummies". After reading the chapter on Limits and Continuity, and then viewing this video, I'd say I have a good broad understanding on the topic. Thanks
What!! This truly is a good explanation. Thank you!
OMG thank you, you have no idea what you have done
Wow ❤️ you explain so clearly
7 and a half hours worth of lectures vs a 7 minute video- which will educate me best?
RUclips always wins
LMAOOOOO
7 hour
Love your explanation. You made it easy and clear.
Coming back to this video as I start calc b because I remember how much help this was in part a. Very helpful, thank you!
Why did you stop making videos?
This is the best video I've seen regarding this subject!
Thank you for your help!
I really appreciate you taking the time to make this. Thank you!
the title stays true to its meaning ..this actually the best definition of limits i have seen so far, i learned a lot of things and it cleared out my confusion, thank you!!
Loved it. !! awesome....another aspect of limits clearly defined and demonstrated,,very thankful for demystifying a hard concept. a5Star job..thanks again !!
Thank you for this video! I found it super helpful.
it IS the best explanation of limits and continuity. Thanks.
Extremely good video! FarFromStandard is saving lives one video at a time!
That is a 3 hour lecture in just 7 min
Great rohan understood it too quick.!
@hameed That's a great question! Whether or not a limit exists ALWAYS depends on the x value - whether or not the function is piecewise. As the video says, for CONTINUOUS functions, the limit at any given x value will be = f(x). Piecewise functions can be continuous; the two that we happened to draw in this video were discontinuous, and so that's why the limits DONT exist ONLY at those specific x values. Limits existed on the continuous PARTS of those piecewise function. Hope that helps!
Best explanation ever! Thank you Sir!
a faithful title of the video.
@blakknwytt Excellent question! There is no y value for x = 3 because there is a hole. If instead it were a smooth curve, then you're right, the y value at 3 would equal 4. A "hole" literally means there is a gap on the function. So when x = 3, there is no y value at all. But when x = 2.99999, there is a y value, 3.99999 (so basically 4). And when x=3.00001, there is a y value, 4.00001 (basically 4). So the limit at x =3 is 4, but at x =3 there's no exact y value because there is a hole
You did a fantastic job!! Thank you man, I will definitely be checking out more of your videos!
It actually makes sense now
This is the best explanation I've ever seen!
Very VERY much easier to understand then by reading the examples given to you out of my Calculus textbook. The text book just makes everything more complicated and i am unable to have teaching hours because my schedule makes that nearly impossible to meet with my professors. You have my deepest thanks from a football player at University of Texas at Austin for making the first chapters much easier to comprehend.
This guy is awesome.. God level teacher..😀😀 Loved it man,simply exploded my mind by clearing my concept..
THANK YOU SO MUCH FOR THIS VIDEO!!!! Our teacher talks so fast thats why i cant understand her. Kudos to your teaching!!! ❤️ i understand everything now
Meanwhile my professor just does the work with no reasoning. The asks reasoning when we do homework.
Thanks! This helped a lot!
Literally best👍
You have a gift from God to teach.
I got more information in 7 minutes, than my professor explained me in 3 hours
Great video. We watched it in class and my students caught the slight mistake at the beginning and actually helped engage the class. Thanks.
Thank you for the explanation. I was lost before this video.
FINALLY thank you so much
first time I actually learned something in calculus...THANX for the help!!
THIS DUDE JUST SAVED ME MY SCHOOL DOES NOTHING
Wow What a amazing video HE just explained the limit in just 7 minutes
I understand it very easily
ill be honest, the video lives up to its title
I study at Johns Hopkins and I have to resort to fuckin RUclips for explainations. And I pay tuition as if I own a dollar press.
That was a great explanation! I feel I like I am starting to grasp the limit concept! Thanks so much!
@lilmisskee245 I don't know if your question has been answered but when there's a hole there's still a limit, there just wouldn't be an actual value, f(x) wouldn't exist. If there was both a hole and a filled in dot, the hole would be the limit and the dot would be the actual value so they would be different
You mean to tell me I didn’t understand limits because I could not comprehend the concept that:
1. Limits are not restricted to the point actually existing on the function, only if it can be approached from the left and right sides on that function
And
2. A one sided limit has nothing to do with whether the point exists in the function, only if it can be approached on the function from the + or - side
Fuck. That’s a really dumb reason for me to be failing this class rn. Thank you thank you thank you.
simple & easy way of explaining. Thanks
Pls also visit "er vishal sir" channel he is also great
well. I have to agree.. this is possibly the best explanation about continuity...
India rules.. cheers from Bogota, Colombia!!
Thank you!
Thanks Kevin G! Good to see the Mathletes paid off!
This.... has helped me understand what I have been trying to figure out for 2 days. Thank. you.
hey Amanda, I'm also working on this and I'm breaking my head over it. Could we chat somehow and see if you could explain some things to me?
Someone's tryin to get laid. Just my 2 cents
hahahhahah
With thee AP exam tomorrow, and my teacher's blog not helping, this was very useful
Well such people seem to get the point across and make difficult concepts easier to understand so I'm not complaining. Also this sort of method of teaching seems to be used in most places around the world like Japan, for instance, which many can agree on being one of the world's hotspots for new and innovative ideas.
So much better at teaching than my math teacher!
i actually learned something from this lol . good work
Wow, now ik different way of teaching can have different outcomes for students (rip my grammar).
My brain is opened lol.
well thank you for this video...........this really helped very much.........thats fucking awesome when we find an indian guy teaching the whole world
Thank you! This helped me get through my AP Calc hw!
You are a literal blessing
I am here 1 decade later just to THANK YOU
AHHHHHHHH U HAVE THE VIRUS
@@kenm2595 i am the virus
Great lecture. Posted this in my calc. discussion forum!
Thank you so much bro. I very appreciate it.
OMG! THANK YOU SO MUCH! I UNDERSTAND THE LIMITS WONDERFULLY NOW!
wow... this lecture is so much helpful!! :D thank you so much!
thank you so much! im self tutoring myself with my old edition calc book (so id have less difficulty when i get back to school) an i never got what the lim was... now thanks to you, i do! i wish you could be my tutor!
Really a great explanation.....
you should tell about continuity more than you did it in this video! Next time i want to see more examples
Thanks !!!
as far as i understood the discontinous curve drawn does not represent the equation g(x)=3 as the equation means that when the value of x approches 4 then f(x) should approach 3 but in the curve its vice versa .
@SwanPrncss I know! I actually had him for a tutor in real life. He calls it "Translating from Math to English", and right now he's doing a Ph.D. in Education. Hopefully he teaches other tutors how to do that.
This was extremely helpful! I am going to use your videos for my summer AP Calc. assignment.
This video was great, keep up the good work...💪💪💪
@blueovaltrucks Actually it should be undefined. Whenever it's talking about the exact value of the function, you use "undefined", and whenever you are talking about the limit, you use "Does Not Exist". So in that case at 3:50, I should have used undefined. But earlier when I used limit, DNE should be used. Hope that helps!
OOH MY GOODNESS. THIS HELPS SO MUCH. I LOVE THIS T-T
thank you very much, you pretty much explained the whole idea behind continuity.
i finally understand limit thank you so much
this man is a legend. what my teacher explained in 45 min he could do it in 7 min and this time i actually understood
This is a great video, keep up the good work! Calculus is terrific.
I guess we are united as a human race...why ? I am a student from Poland but I finally get the limits explained from this video.....Tnx a lot
Only 59 seconds in but wow that was the best explanation I've gotten so far
Dude, Thank YOU! Made calc a lot more easier for me.
Work on English
Because I said "more easier"? I guess correcting petty grammar errors on the internet is your kind of fun. Work on getting a life.
+Mike Pettine lame
+Mike Pettine You forgot the period at the end of your sentence.....Stupid ass.
Best explanation ever. One 💝
1:07 - so suppose if for y=sqrt(x) when x approach 0 the limit exist. what happens with the limit from the left? or you say that there is no limit for sqrt when x ->0?
You're right, there's no limit for y=sqrt(x) simply from that the function is not continuous to its left, and therefore cannot have a limit inherently.
This is only true for R space (with real numbers) however.
this Indian is a math disciple.
lol
Thanks a lot! Very easy to understand! Cool dude!
2:27 How? The way I see it, the limit approaches 2 from both hand-sides :( or do the two kinds of dots denote the two hand-sides?
From the left it definitely approaches 2, but from the right - you have to look at where x=2.01 (or some number a bit to the right of X=2). And there we can see that the Y-Value is actually Y=1. Does that make sense? And the limit is what the Y-Value is.
Awesome, thanks fo much for the great video!! :D
finally a good frickin video
Man I wish I'd seen this before my test :(
Great video!!!
Hey bro, great explanation. Better than any teachers have ever taught me!
It's really easy to understand such tough concept of limit by u sir....thanks alot. upload more videos of class BSC mathematics. so that it will be easier for me to understand any concept in the blink of an eye.
So do you use limits to graph? Because every video I've seen so far already has the graph, and the limits just describe the discontinuity in the graph. You have to be able to graph with them or else they seem kind of pointless.