Question

Show that the radius of convergence of $e^x$ is infinite

score 13.2k · Answer 1 · 2016-01-10 19:37:09

13.2k

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Show that the radius of convergence of $e^x$ is infinite

Published on 10 Jan 2016 - 19:37

score 284 · Answer 2 · 2016-01-11 13:36:43

284

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Does $f_n :$ $ ]0;1[ \to \Bbb R, f_n = \frac{nx}{nx+1}$ converge uniformly?

Published on 11 Jan 2016 - 13:36

score 141 · Answer 3 · 2026-03-27 14:11:30

141

Views

Stochastic Convergence

Published on 27 Mar 2026 - 14:11

score 639 · Answer 4 · 2026-04-03 15:10:35

639

Views

Uniform convergence in Mercer Theorem for bounded kernels

Published on 03 Apr 2026 - 15:10

score 326 · Answer 5 · 2016-01-13 17:08:09

326

Views

Uniform convergence of the series on unbounded domain

Published on 13 Jan 2016 - 17:08

score 61 · Answer 6 · 2016-01-14 00:32:27

61

Views

Differentiable function impleis uniform convergence

Published on 14 Jan 2016 - 0:32

score 45 · Answer 7 · 2016-01-15 05:28:28

45

Views

Find if $\sum_{n=1}^{\infty} (nx-n+1)x^n$ converges uniformly for $|x| < 1$.

Published on 15 Jan 2016 - 5:28

score 128 · Answer 8 · 2016-01-15 06:45:56

128

Views

Prove that $f_{n}(x) = \frac{1}{x} \chi _{[\frac 1 n, 2]}$ is not uniformly convergent on $[0,2]$?

Published on 15 Jan 2016 - 6:45

score 490 · Answer 9 · 2016-01-15 16:46:40

490

Views

Using Arzelà–Ascoli Theorem for the whole sequence

Published on 15 Jan 2016 - 16:46

score 166 · Answer 10 · 2016-01-16 10:20:22

166

Views

Is $f_{n}(x)=x^{n}$ uniformly convergent on the interval $[0,1]$?

Published on 16 Jan 2016 - 10:20

score 48 · Answer 11 · 2016-01-16 12:09:59

48

Views

Uniform convergeness and polynomials

Published on 16 Jan 2016 - 12:09

score 296 · Answer 12 · 2016-01-16 12:34:47

296

Views

Is it true that if $f_{n}\rightarrow f$ uniformly converges then $f^{\prime}_{n}\rightarrow f^{\prime}$?

Published on 16 Jan 2016 - 12:34

score 39 · Answer 13 · 2026-04-13 19:50:11

39

Views

How to preform a uniform convergence test on a sequence of functions with intervals that depend on $n$?

Published on 13 Apr 2026 - 19:50

score 753 · Answer 14 · 2016-01-20 17:35:35

753

Views

The limit of a uniform convergent sequence of isometries is an isometry (problem 6-3 of Lee's "Riemannian manifolds")

Published on 20 Jan 2016 - 17:35

score 140 · Answer 15 · 2016-01-21 15:56:52

140

Views

Does $f_n(x)=\frac{x}{n}\log(\frac{x}{n})$ converge uniformly in $(0,1)$?

Published on 21 Jan 2016 - 15:56

List Question

Show that the radius of convergence of $e^x$ is infinite

Does $f_n :$ $ ]0;1[ \to \Bbb R, f_n = \frac{nx}{nx+1}$ converge uniformly?

Stochastic Convergence

Uniform convergence in Mercer Theorem for bounded kernels

Uniform convergence of the series on unbounded domain

Differentiable function impleis uniform convergence

Find if $\sum_{n=1}^{\infty} (nx-n+1)x^n$ converges uniformly for $|x| < 1$.

Prove that $f_{n}(x) = \frac{1}{x} \chi _{[\frac 1 n, 2]}$ is not uniformly convergent on $[0,2]$?

Using Arzelà–Ascoli Theorem for the whole sequence

Is $f_{n}(x)=x^{n}$ uniformly convergent on the interval $[0,1]$?

Uniform convergeness and polynomials

Is it true that if $f_{n}\rightarrow f$ uniformly converges then $f^{\prime}_{n}\rightarrow f^{\prime}$?

How to preform a uniform convergence test on a sequence of functions with intervals that depend on $n$?

The limit of a uniform convergent sequence of isometries is an isometry (problem 6-3 of Lee's "Riemannian manifolds")

Does $f_n(x)=\frac{x}{n}\log(\frac{x}{n})$ converge uniformly in $(0,1)$?

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