Question

prove that lim($nc_n$) = $0$

score 144 · Answer 1 · 2016-11-08 12:39:15

144

Views

prove that lim($nc_n$) = $0$

Published on 08 Nov 2016 - 12:39

score 74 · Answer 2 · 2026-03-27 19:10:12

74

Views

Do taylor series smooth functions of power series with finite convergence radius at every point converge to itself on every point of real line

Published on 27 Mar 2026 - 19:10

score 223 · Answer 3 · 2016-11-11 11:58:45

223

Views

Pointwise and uniform convergence definitions

Published on 11 Nov 2016 - 11:58

score 78 · Answer 4 · 2016-11-12 20:01:25

78

Views

Given $\{f_n\}\rightarrow f$ uniformly on the compact $I$ and each $f_n$ is continuous, prove $\lim_{n\rightarrow\infty}\int_I|f_n - f|^2 = 0$

Published on 12 Nov 2016 - 20:01

score 79 · Answer 5 · 2026-03-30 05:30:17

79

Views

Let $(g_n)$ be a sequence of functions on $[a,b]$. If $(g_n)$ converges pointwise and uniformly continuous on $[a,b]$

Published on 30 Mar 2026 - 5:30

score 273 · Answer 6 · 2026-03-30 05:26:46

273

Views

If $f_n \to f$ uniformly from $[a,b] \to \Bbb R$, every $f_n$ is continuous and each $f_n$ has a zero, then $f$ has a zero.

Published on 30 Mar 2026 - 5:26

score 87 · Answer 7 · 2026-03-30 05:30:08

87

Views

Let $(f_n)$ be a sequence of functions on $[a,b]$ such that each $f_n$ is continuous on $[a,b]$ and differentiable on $(a,b)$

Published on 30 Mar 2026 - 5:30

score 240 · Answer 8 · 2016-11-15 09:27:18

240

Views

Let $\{f_n\}$ be a sequence of functions converging pointwise to $f$

Published on 15 Nov 2016 - 9:27

score 384 · Answer 9 · 2016-11-15 16:42:38

384

Views

A sequence of continuous functions on $[0,\infty)$ converging uniformly such that each $f_n$ has a zero but the limit function is nowhere zero.

Published on 15 Nov 2016 - 16:42

score 121 · Answer 10 · 2016-11-16 05:26:23

121

Views

Do the following sequences of functions converge pointwise or uniformly?

Published on 16 Nov 2016 - 5:26

score 113 · Answer 11 · 2016-11-16 18:33:20

113

Views

How to determine if the function series $\sum_{n=1}^{\infty}\frac{n^x}{3^n-5}$ is not uniformly convergent for $x \in [0, \infty)$

Published on 16 Nov 2016 - 18:33

score 244 · Answer 12 · 2016-11-18 00:59:34

244

Views

Given $x_n$ uniformly convergent, is $\log |x_n|$ uniformly convergent?

Published on 18 Nov 2016 - 0:59

score 515 · Answer 13 · 2016-11-18 02:30:45

515

Views

Prove Uniform Convergence on $\frac{cos(n\pi x))}{n}$ as $n \to \infty$

Published on 18 Nov 2016 - 2:30

score 20 · Answer 14 · 2016-11-18 15:53:26

20

Views

Convergence in $\overline A $ of a limit of a sequence of functions

Published on 18 Nov 2016 - 15:53

score 245 · Answer 15 · 2016-11-18 23:23:48

245

Views

Show that a sequence of functions is uniformly convergent

Published on 18 Nov 2016 - 23:23

List Question

prove that lim($nc_n$) = $0$

Do taylor series smooth functions of power series with finite convergence radius at every point converge to itself on every point of real line

Pointwise and uniform convergence definitions

Given $\{f_n\}\rightarrow f$ uniformly on the compact $I$ and each $f_n$ is continuous, prove $\lim_{n\rightarrow\infty}\int_I|f_n - f|^2 = 0$

Let $(g_n)$ be a sequence of functions on $[a,b]$. If $(g_n)$ converges pointwise and uniformly continuous on $[a,b]$

If $f_n \to f$ uniformly from $[a,b] \to \Bbb R$, every $f_n$ is continuous and each $f_n$ has a zero, then $f$ has a zero.

Let $(f_n)$ be a sequence of functions on $[a,b]$ such that each $f_n$ is continuous on $[a,b]$ and differentiable on $(a,b)$

Let $\{f_n\}$ be a sequence of functions converging pointwise to $f$

A sequence of continuous functions on $[0,\infty)$ converging uniformly such that each $f_n$ has a zero but the limit function is nowhere zero.

Do the following sequences of functions converge pointwise or uniformly?

How to determine if the function series $\sum_{n=1}^{\infty}\frac{n^x}{3^n-5}$ is not uniformly convergent for $x \in [0, \infty)$

Given $x_n$ uniformly convergent, is $\log |x_n|$ uniformly convergent?

Prove Uniform Convergence on $\frac{cos(n\pi x))}{n}$ as $n \to \infty$

Convergence in $\overline A $ of a limit of a sequence of functions

Show that a sequence of functions is uniformly convergent

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