Sir, you said that sequence {fn} is pointwise convergent if it's limit is continuous but at 38:38 limit of {fn} is continuous but it exists for all x and you said it is pointwise convergent both the statements are contradicting each other I think to be pointwise convergent existence of limit for every x is sufficient you statement given in starting of video that " {fn} is pointwise convergent if it's limit is continuous" has loopholes.
Wrong totally wrong sir discontinuity of a function never implies not pointwise function. Pointwise simply means the existence of limit at each point of given interval.your concept is wrong
Sir your videos are really really really helpful.
A qualitative video sir👍🏻👍🏻
Good afternoon sir,
Thank you so much sir for making marvelous lecture.
THANK YOU SIR.
Sir awesome content
It was wonderful, listening to your explanation. You are truly motivating. I wait for your sentence ..again very simple...
Please make video on Irreducible polynomial and extension field related question from Ring theory.
Sir, you said that sequence {fn} is pointwise convergent if it's limit is continuous but at 38:38 limit of {fn} is continuous but it exists for all x and you said it is pointwise convergent both the statements are contradicting each other I think to be pointwise convergent existence of limit for every x is sufficient you statement given in starting of video that " {fn} is pointwise convergent if it's limit is continuous" has loopholes.
in first line I did a typo at 38:38 limit of {fn} is not continuous but it exists for all x.
@@Anjali-vo5en i agree with you. Have you found the correct approach?
Thank you sir
Thank you a lot sir
Good afternoon sir, thank you sir
24:07 sir you have bot taking example f_n(x)=1/n x term kha ha?😢
8:22 up ne jo b_n and c_n liya oo to 0 pe converge karega to kayse a,d option discard Kiya 😢
I requested you sir please make the video lecture(csir Pyq) on irreducible polynomial
He will not do that ,he doesn't make videos on abstract algebra
Great work ....thanks a lot
Sir @54:03 A(x) is not Continuous right
Yes...exactly ..it's clearly not cont ...how is it uniformly cgt
you are my motivation sir❤❤
Sir, 38:00 pr option b is also correct... Because option say fn has non pointwise convergent subsequence.
option b is false sir is Right..!!!
Thank you ❤
At 40:30 option (a) is not correct as at x=0 , f is 1.
Sir 55:12 ,In nov 2020question ...
A(x) not converges uniformly . Right ?
Later u corrected sir ...thank you
one lecture on functions if several variables please
Sir please make a video for gate also
Sir CSIR NET mathematical sciences Text book with author tell me
Wrong concept for CSIR NET 2019 June question.
*Divergence of Mn doesn't signify anything about gn(x)*
thankyou sir❤
In series, u r taken h(x).
h(x) must be independent of x.
1:01:41 the example u have taken is wrong ,
X belongs to R that does not mean u should vary x also . First fix the value of x then take limit on n .
19.19 pe mistake hai shayad cause integrability condition does not imply UC!!
Yes there is no result but can you give counter example
@@tomandjerry7524take june 2012 example at 4:40
Sirr At 45:35 june 2017 option A is not correct bcz we have find pointwise limit on [0,1] not on R.on [0,1] ptwise limit is f(x)= 0 if 0
Yes you are. Answer will be only options C and D
Yes a,b option not true
Only b,d option correct
C,d option correct
Make more video on real analysis
I request you sir
Sir ye to aapne discotntinuous को continuos bta diya
n tents to infinity tanns not equal to zero
Andhon mein kaane raja.
U r osm sir ... i wanna join ur private channel , how can I?
All lecture free of cost.... No private coachiing....
Sir pls make vid on lebsgue measure I m waiting.
Wrong totally wrong sir discontinuity of a function never implies not pointwise function. Pointwise simply means the existence of limit at each point of given interval.your concept is wrong
Point wise convergent ke liye continuity jaruri h ?
@@anitaanita6701 no mam ...pointwise require only existence of limit
I think sir shi h , limit exist and equal all points then we say it is point wise convergent, but only limit exist not imply point wise convergent
Jaise continuity me karte h , ydi LHL and RHL not equal then we say limit does note exist, same yha bhi ase hi h
So continuity is necessary
Thank you 🙏 sir
Thank you sir
Thank you sir
thank you sir