Question

Summation problem: $f(x)=1+\sum_{n=1}^{\infty}\frac{x^n}{n}$

score 5.1k · Answer 1 · 2018-08-23 19:04:35

5.1k

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Summation problem: $f(x)=1+\sum_{n=1}^{\infty}\frac{x^n}{n}$

Published on 23 Aug 2018 - 19:04

score 28 · Answer 2 · 2018-08-30 14:27:14

28

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Particular sequence in $L^2[0,1]$ that fades at $\infty$ in $L^2$ norm and whose limit is not defined $\forall$ t

Published on 30 Aug 2018 - 14:27

score 482 · Answer 3 · 2018-08-31 16:28:26

482

Views

Differentiability and Uniform convergence on unbounded intervals

Published on 31 Aug 2018 - 16:28

score 473 · Answer 4 · 2018-09-02 10:30:32

473

Views

Determine whether a sequence of functions converges uniformly

Published on 02 Sep 2018 - 10:30

score 108 · Answer 5 · 2026-02-23 02:58:32

108

Views

A sequence of functions decreasing to 0 is equicontinuous in a compact metric space.

Published on 23 Feb 2026 - 2:58

score 282 · Answer 6 · 2018-09-15 20:47:20

282

Views

How to prove two sequence have a common limit.

Published on 15 Sep 2018 - 20:47

score 42 · Answer 7 · 2018-09-20 07:18:13

42

Views

Interchanging limit of sequence of functions

Published on 20 Sep 2018 - 7:18

score 91 · Answer 8 · 2018-09-23 09:07:09

91

Views

Uniform convergence on $\mathbb R$ of the series $\sum_{n=2}^{\infty} \frac{(-1)^{n+1}} {\sqrt n + \cos x}$

Published on 23 Sep 2018 - 9:07

score 209 · Answer 9 · 2018-09-28 14:39:31

209

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Prove endpoints of Convergence Interval of Power Series are divergent

Published on 28 Sep 2018 - 14:39

score 1.5k · Answer 10 · 2018-10-01 12:10:56

1.5k

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check uniform convergence of $f_n(x)=\begin{cases} 1-nx &\text{if}\;x \in [0,1/n]\\\\0 &\text{if}\;x \in [1/n,1] \end{cases}$

Published on 01 Oct 2018 - 12:10

score 30 · Answer 11 · 2018-10-08 16:05:01

30

Views

A question about convergence. Is it possible to find a subsequence increasing in this situation?

Published on 08 Oct 2018 - 16:05

score 135 · Answer 12 · 2018-10-12 19:01:10

135

Views

Convergence of the following sequence of functions.

Published on 12 Oct 2018 - 19:01

score 780 · Answer 13 · 2018-10-19 14:12:48

780

Views

Uniform convergence of sequence of function $f_n(x) = \frac{nx^4+1}{nx^4+2x+3}e^{-nx^2}$ on the interval $(1,+ \infty)$

Published on 19 Oct 2018 - 14:12

score 32 · Answer 14 · 2018-10-20 21:05:09

32

Views

Understanding the integral of a sequence of functions

Published on 20 Oct 2018 - 21:05

score 140 · Answer 15 · 2018-10-22 16:56:19

140

Views

Pointwise and uniform convergence of a piecewise sequence of functions on the closed, punctured disk, $\overline{D}\prime(0,1)$.

Published on 22 Oct 2018 - 16:56

List Question

Summation problem: $f(x)=1+\sum_{n=1}^{\infty}\frac{x^n}{n}$

Particular sequence in $L^2[0,1]$ that fades at $\infty$ in $L^2$ norm and whose limit is not defined $\forall$ t

Differentiability and Uniform convergence on unbounded intervals

Determine whether a sequence of functions converges uniformly

A sequence of functions decreasing to 0 is equicontinuous in a compact metric space.

How to prove two sequence have a common limit.

Interchanging limit of sequence of functions

Uniform convergence on $\mathbb R$ of the series $\sum_{n=2}^{\infty} \frac{(-1)^{n+1}} {\sqrt n + \cos x}$

Prove endpoints of Convergence Interval of Power Series are divergent

check uniform convergence of $f_n(x)=\begin{cases} 1-nx &\text{if}\;x \in [0,1/n]\\\\0 &\text{if}\;x \in [1/n,1] \end{cases}$

A question about convergence. Is it possible to find a subsequence increasing in this situation?

Convergence of the following sequence of functions.

Uniform convergence of sequence of function $f_n(x) = \frac{nx^4+1}{nx^4+2x+3}e^{-nx^2}$ on the interval $(1,+ \infty)$

Understanding the integral of a sequence of functions

Pointwise and uniform convergence of a piecewise sequence of functions on the closed, punctured disk, $\overline{D}\prime(0,1)$.

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