Sequences of Functions | CSIR NET 2011 to 2024 | Fully Short Cut Tricks

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This lecture explains the PYQs on Sequences of function from CSIR NET 2011 - 2024.
#realanalysis #csirnet
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Respected sir please complete this way whole syllabus of real analysis for csir net before dec 2024 ; your explanation is very helpful. Thank you ❤❤❤

dipakkrdas
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1:16:00 (b) option is wrong counter exp fn(x) = x^n on [ 0 , a ] Pwl exist but on [ -1, 1 ] does not
so hw can we say it is Pwl on R ?

jogarambeniwal
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Super sir.... Clear explain.. Very useful for me Thank you so much sir💐

sadeesha
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40:43 f_n ko continuous Lena bola tha upne discontinuous liya

RanjangamingYT
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1:11:45 given question me open interval diya ha closed nhi

RanjangamingYT
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Thank you so much sir you are doing a great job for us thanks alots sir 😊

gunjanrajput
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sir, your PYQ series is very much useful. Can you do a video on Functional Analysis for GATE 2025. Tq

sureshacademic
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54:00. 4th option wrong not UC bola hai

Harish-Dhar-Deewan
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Thank you sir for this amazing lecture

aslicodes
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40:52 for d option me R me Lena up ne sir 0 to 1 and 1 to infinity point liya 😢

RanjangamingYT
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33:36 how b option true take example f_n(x)=xe^(-nx^2) this is uc on [0, infinity) then LHS and right hand side zero nhi huya 🥲

RanjangamingYT
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42:43 integration g_n(x) up ne integrate nhi kiya kayse hoga

RanjangamingYT
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1:11:19 zero or one to domain me nhi hai to x ka value kaise put kar sakte hai plz

vipin
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Upne Jo subsequence 1/n liya (0, 1) me nhi ayega because 1 does not belongs to (0, 1)
Take subsequence 1/(n+1)

RanjangamingYT
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Sir at 9:00 if fn not converges to f then we can say its(fn) integration with limit n tends to infinity is not equal to integration of f by the property?

ramprajapat
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54:39 d option not bola ha upne true bol diya 😢

RanjangamingYT