Question

Show uniform convergence using continuous function

score 45 · Answer 1 · 2026-02-23 21:30:10

45

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Show uniform convergence using continuous function

Published on 23 Feb 2026 - 21:30

score 140 · Answer 2 · 2021-05-03 17:38:49

140

Views

Does the monotone pointwise limit of continuous functions has left and right limit everywhere?

Published on 03 May 2021 - 17:38

score 55 · Answer 3 · 2021-05-03 20:50:11

55

Views

convergence in measure imples integrability

Published on 03 May 2021 - 20:50

score 40 · Answer 4 · 2021-05-06 00:27:25

40

Views

Find the domain of pointwise convergence of the series $\sum_{n=1}^{\infty }e^{-nx}\cos(nx)$ by showing contradiction

Published on 06 May 2021 - 0:27

score 46 · Answer 5 · 2021-05-12 03:40:06

46

Views

Convergence of Integral (Exercise 6 Section 3 (chapter 4) Royden 3rd edition)

Published on 12 May 2021 - 3:40

score 120 · Answer 6 · 2021-05-13 00:06:37

120

Views

Find the pointwise limit of the sequence$f_n(x) = {1\over 1+x} + {2\over 1+x^2} + {4\over 1+x^4}+...+{2^n\over 1+x^{2^n}}$

Published on 13 May 2021 - 0:06

score 674 · Answer 7 · 2021-05-15 01:44:55

674

Views

Why is the integral of pointwise limit of sequence of function always less than or equal to the limit of integral?

Published on 15 May 2021 - 1:44

score 371 · Answer 8 · 2021-05-17 08:43:18

371

Views

pointwise convergence does not imply uniform convergence for series

Published on 17 May 2021 - 8:43

score 241 · Answer 9 · 2021-05-18 13:25:27

241

Views

determine if $f_n(x) = \sin(\frac x n)$ at $\mathbb{R}$ converges pointwise and uniformly

Published on 18 May 2021 - 13:25

score 50 · Answer 10 · 2021-05-22 08:10:32

50

Views

Pointwise convergence of 2nd degree polynomials sequence to f in [-1,1], need to prove f is a polynomial from 2nd degree at most

Published on 22 May 2021 - 8:10

score 179 · Answer 11 · 2021-05-23 17:41:58

179

Views

Does pointwise convergence plus convergence of $\int |f_n| $ imply convergence of $\int f_n$?

Published on 23 May 2021 - 17:41

score 222 · Answer 12 · 2021-05-31 00:48:51

222

Views

Does squeeze theorem apply for almost sure convergence

Published on 31 May 2021 - 0:48

score 166 · Answer 13 · 2021-05-31 18:20:17

166

Views

convergence in $L^{2}$

Published on 31 May 2021 - 18:20

score 168 · Answer 14 · 2021-06-03 09:54:51

168

Views

What an example of holomorphic function $f_n\to f$ s.t. $f$ is not holomorphic?

Published on 03 Jun 2021 - 9:54

score 121 · Answer 15 · 2021-06-05 14:47:29

121

Views

Is a continuous function necessarily the pointwise limit of a sequence of uniformly continuous functions?

Published on 05 Jun 2021 - 14:47

List Question

Show uniform convergence using continuous function

Does the monotone pointwise limit of continuous functions has left and right limit everywhere?

convergence in measure imples integrability

Find the domain of pointwise convergence of the series $\sum_{n=1}^{\infty }e^{-nx}\cos(nx)$ by showing contradiction

Convergence of Integral (Exercise 6 Section 3 (chapter 4) Royden 3rd edition)

Find the pointwise limit of the sequence$f_n(x) = {1\over 1+x} + {2\over 1+x^2} + {4\over 1+x^4}+...+{2^n\over 1+x^{2^n}}$

Why is the integral of pointwise limit of sequence of function always less than or equal to the limit of integral?

pointwise convergence does not imply uniform convergence for series

determine if $f_n(x) = \sin(\frac x n)$ at $\mathbb{R}$ converges pointwise and uniformly

Pointwise convergence of 2nd degree polynomials sequence to f in [-1,1], need to prove f is a polynomial from 2nd degree at most

Does pointwise convergence plus convergence of $\int |f_n| $ imply convergence of $\int f_n$?

Does squeeze theorem apply for almost sure convergence

convergence in $L^{2}$

What an example of holomorphic function $f_n\to f$ s.t. $f$ is not holomorphic?

Is a continuous function necessarily the pointwise limit of a sequence of uniformly continuous functions?

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