There is a REQUEST to you sir.. if you solve same questions in more than one video, you change their answers ...it gets confusing . Kindly take care of that for those students who rely on your videos for exams
Sir at 12:00 you actually have chosen a specific path, and the limit does not depend on me on that specific path. But from this path, we can not conclude that the limit will be path-independent for all paths. That technique is useful for proving non-existence of limit but for proving that the value of the limit is this I think we have to use the epsilon-delta definition of limit, Please correct me If I am wrong
15:36 Sir can we always say that an one one function whose range is unbound is onto!!?? exponential function e^x is one one whose range is unbounded but not onto!!!!! CAN ANYONE GIVE ME A HINT HOW TO GET IT ONTO
Thanks alot sir
Thanks sir for the lecture 🙏
Thank you so much sir ...best revision for us
thankyou sir, please upload more videos it is really great help
Thank you for good class
Nice video sir thanks for help us please upload next vedio
🙇🙇 Speechless 🙏🙏
Great video sir❤❤❤
Thank you Sir for this wonderful session
There is a REQUEST to you sir.. if you solve same questions in more than one video, you change their answers ...it gets confusing . Kindly take care of that for those students who rely on your videos for exams
If u need we provide the lectures.
Disclaimer: Don't follow blindly
Sir at 12:00 you actually have chosen a specific path, and the limit does not depend on me on that specific path. But from this path, we can not conclude that the limit will be path-independent for all paths. That technique is useful for proving non-existence of limit but for proving that the value of the limit is this I think we have to use the epsilon-delta definition of limit, Please correct me If I am wrong
Yes but using the definition you can see for small x; sin(x) is approximately x and hence you can prove g is continuous at (0,0)
Nice super tricks sir .....thank you sir ❤
Awesome sir🙏🙏🙏🙏🙏
Thank you ❤
Superb Sir❤❤❤
Thanks Sir❤🎉🎉😊
THANK YOU VERY MUCH SIR
Thank you sir 🎉
Thanks sir
Thanku sir
Thank you sir ❤
Thanku so much sir
Thank you so much sir 🙏💕
Thank you sir
Thankyou Sir.
Thankyou sir
thank you so much sir🙏🙏🙏🙏
8:41 is there mistake ??? I think option a and c correct ?? Anyone plz clear this confusion
Option a,c,d are correct as we had to chose those sets in which S is contained
When α= -1 and β= 2.1 then also it belongs to S but it's not in option (a),(b) hence they are discarded
Again choose α= 3 and β= -1 then it's in S but not in option(d) so it is ❌
51:33
D option always differantiable at the point x=0 use definition of derivative
31:20
Function not Continuous because
y(x)=-x^2+mx^3 the given function depand on path so, function is not Continuous
Sir please make a video on one variable differentiability and continuity..
Sir at 15.00 pe Jo 2017 Dec wale question Hai,uska answer only 2 hoga...if I consider f(x)=x^2 then 1 and 3 cancel ho jayega..
You cannot consider x^2 since its not satisfying the condition.
Sir kya aap
Online Tumari karwate hai
15:36
Sir can we always say that an one one function whose range is unbound is onto!!??
exponential function e^x is one one whose range is unbounded but not onto!!!!!
CAN ANYONE GIVE ME A HINT HOW TO GET IT ONTO
Jacobian iska invertible hoga ...wha se ho jayega
22:12 S is not dense in R^2
Sir algebra group theory and ring theory short tricks ..sir please upload this topic to vidio ....
A,c,d correct
Please upload modern algebra pyq
6:54 i think mistake kiya 😢
Sir probability statistics questions
Sir numerical pless 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
Sir please provide the problems using modulus in the function of several variables sir
Thankyou so much sir ❤❤❤
Thank you sir
Thnku so much sir
Thank you sir 🙏🙏🙏🙏
Thank you sir 🎉