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
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
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 sir for the lecture 🙏
Thanks alot sir
Nice video sir thanks for help us please upload next vedio
thankyou sir, please upload more videos it is really great help
Thank you so much sir ...best revision for us
Thank you sir 🎉
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)
🙇🙇 Speechless 🙏🙏
Thank you for good class
Thank you Sir for this wonderful session
Great video sir❤❤❤
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.
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Sir please provide the problems using modulus in the function of several variables sir
THANK YOU VERY MUCH SIR
Thanks sir
Nice super tricks sir .....thank you sir ❤
Thanku sir
Thank you so much sir 🙏💕
Thank you sir
Awesome sir🙏🙏🙏🙏🙏
Sir please make a video on one variable differentiability and continuity..
Thankyou Sir.
Thanku so much sir
Thank you sir ❤
Thankyou sir
Thanks Sir❤🎉🎉😊
Superb Sir❤❤❤
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..
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 ❌
Sir algebra group theory and ring theory short tricks ..sir please upload this topic to vidio ....
Please upload modern algebra pyq
22:12 S is not dense in R^2
Sir probability statistics questions
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
Sir numerical pless 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
Thank you sir
Thank you sir 🎉
Thankyou so much sir ❤❤❤
Thank you sir 🙏🙏🙏🙏
Thnku so much sir