Question

Convergence and differentiability of an interative function

score 25 · Answer 1 · 2026-04-13 01:33:01

25

Views

Convergence and differentiability of an interative function

Published on 13 Apr 2026 - 1:33

score 100 · Answer 2 · 2026-04-15 16:41:50

100

Views

confused by tutorial/example on uniform convergence of $\zeta(x)=\sum 1/n^x$

Published on 15 Apr 2026 - 16:41

score 59 · Answer 3 · 2026-04-10 03:23:37

59

Views

Why the function sequence does not converge uniformly

Published on 10 Apr 2026 - 3:23

score 58 · Answer 4 · 2026-04-17 08:28:30

58

Views

Uniform convergence of $f_n=\sqrt[n]{x}$

Published on 17 Apr 2026 - 8:28

score 250 · Answer 5 · 2026-04-15 03:33:57

250

Views

Uniform convergence to zero implies equicontinuity

Published on 15 Apr 2026 - 3:33

score 60 · Answer 6 · 2026-04-18 14:34:53

60

Views

Only pointwise convergence or also uniform convergence?

Published on 18 Apr 2026 - 14:34

score 37 · Answer 7 · 2026-04-18 15:01:06

37

Views

How can the pointwise and uniform limits of sequences of functions defined by parts be treated?

Published on 18 Apr 2026 - 15:01

score 116 · Answer 8 · 2026-04-17 00:34:09

116

Views

Evaluate the uniform and the normal convergence of the series of functions $\sum \frac{x}{(1 + x^2)^n}$

Published on 17 Apr 2026 - 0:34

score 59 · Answer 9 · 2026-04-14 16:59:09

59

Views

On which interval is $\sum_{n=0}^{\infty}\frac{x^{2n}}{1+x^{2n}}$ continuous?

Published on 14 Apr 2026 - 16:59

score 70 · Answer 10 · 2026-04-17 14:40:06

70

Views

$f_0(x)=x$, $f_1(x)=x(1-x)$,...,$f_{n+1}(x)=f_n(x)(1-f_n(x))$ Prove that $f_n$ converges to $0$ on [0,1].

Published on 17 Apr 2026 - 14:40

score 52 · Answer 11 · 2026-04-16 02:10:09

52

Views

Show that $f_n \rightarrow f$ uniformly on $[0,1]$.

Published on 16 Apr 2026 - 2:10

score 92 · Answer 12 · 2026-04-18 15:09:09

92

Views

Uniform convergence and rigor proof of pointwise convergence of $f_n(x)=n\left(\sqrt{x+\frac1n}- \sqrt{x}\right)$ for all $x \in (0,\infty)$.

Published on 18 Apr 2026 - 15:09

score 119 · Answer 13 · 2026-04-13 23:59:19

119

Views

Does uniform convergence of continuously differentiable $f_n$ imply point-wise convergence of derivatives?

Published on 13 Apr 2026 - 23:59

score 117 · Answer 14 · 2026-04-17 10:18:56

117

Views

Prove that $(\frac{1}{n} +z )^2$ doesn't converge uniformly on $\mathbb{C}$.

Published on 17 Apr 2026 - 10:18

score 36 · Answer 15 · 2026-04-15 21:15:37

36

Views

Prove the sequence $\frac{nz}{n+1} + \frac{3}{n}$ converges uniformly to $z$ on $|z| \leq R|$ for all $R$.

Published on 15 Apr 2026 - 21:15

List Question

Convergence and differentiability of an interative function

confused by tutorial/example on uniform convergence of $\zeta(x)=\sum 1/n^x$

Why the function sequence does not converge uniformly

Uniform convergence of $f_n=\sqrt[n]{x}$

Uniform convergence to zero implies equicontinuity

Only pointwise convergence or also uniform convergence?

How can the pointwise and uniform limits of sequences of functions defined by parts be treated?

Evaluate the uniform and the normal convergence of the series of functions $\sum \frac{x}{(1 + x^2)^n}$

On which interval is $\sum_{n=0}^{\infty}\frac{x^{2n}}{1+x^{2n}}$ continuous?

$f_0(x)=x$, $f_1(x)=x(1-x)$,...,$f_{n+1}(x)=f_n(x)(1-f_n(x))$ Prove that $f_n$ converges to $0$ on [0,1].

Show that $f_n \rightarrow f$ uniformly on $[0,1]$.

Uniform convergence and rigor proof of pointwise convergence of $f_n(x)=n\left(\sqrt{x+\frac1n}- \sqrt{x}\right)$ for all $x \in (0,\infty)$.

Does uniform convergence of continuously differentiable $f_n$ imply point-wise convergence of derivatives?

Prove that $(\frac{1}{n} +z )^2$ doesn't converge uniformly on $\mathbb{C}$.

Prove the sequence $\frac{nz}{n+1} + \frac{3}{n}$ converges uniformly to $z$ on $|z| \leq R|$ for all $R$.

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