Question

Examples: Sequence of derivatives $\lim_{n\to\infty}f_n'(x)\neq \left(\lim_{n\to\infty}f_n(x)\right)'$

score 41 · Answer 1 · 2020-12-10 15:27:43

41

Views

Examples: Sequence of derivatives $\lim_{n\to\infty}f_n'(x)\neq \left(\lim_{n\to\infty}f_n(x)\right)'$

Published on 10 Dec 2020 - 15:27

score 333 · Answer 2 · 2026-02-23 19:43:19

333

Views

Application of Arzela-Ascoli Thrm where $(f'_n)$ is uniformly bounded

Published on 23 Feb 2026 - 19:43

score 89 · Answer 3 · 2020-12-13 11:07:52

89

Views

$\lim_{n\to \infty}{\int_{0}^1 (1-x^2)^n} = 0$

Published on 13 Dec 2020 - 11:07

score 44 · Answer 4 · 2020-12-13 19:23:54

44

Views

Find the limit function if this exist

Published on 13 Dec 2020 - 19:23

score 53 · Answer 5 · 2020-12-14 17:04:17

53

Views

How can we show that $f_n$ diverges and $F_n$ converges

Published on 14 Dec 2020 - 17:04

score 141 · Answer 6 · 2020-12-19 01:09:14

141

Views

A sequence that converges pointwise but not uniformly.

Published on 19 Dec 2020 - 1:09

score 95 · Answer 7 · 2020-12-19 15:09:05

95

Views

Checking exercise on uniform convergence

Published on 19 Dec 2020 - 15:09

score 50 · Answer 8 · 2020-12-19 19:29:12

50

Views

Evaluate $\sum _{n=1}^{k}\frac{{\left(-4\right)}^{n+2}}{(n-2{)}^{2}}\prod _{i=n}^{2k}\frac{i}{i+1}$ for $k=3$

Published on 19 Dec 2020 - 19:29

score 42 · Answer 9 · 2020-12-20 21:32:28

42

Views

If all $f_n(x) \to 0$ as $|x| \to \infty$ and $f_n \to f$ pointwise, does $f \to 0$ as $|x| \to \infty$?

Published on 20 Dec 2020 - 21:32

score 41 · Answer 10 · 2020-12-21 23:53:25

41

Views

Sequence of Continuous Functions converging pointwise

Published on 21 Dec 2020 - 23:53

score 114 · Answer 11 · 2020-12-22 23:03:04

114

Views

Show that limit of limits $\lim\limits_{n\to\infty}\lim\limits_{x\to c}x^n$ exists

Published on 22 Dec 2020 - 23:03

score 58 · Answer 12 · 2020-12-25 04:41:15

58

Views

Existence or non existence of uniformly convergent subsequence

Published on 25 Dec 2020 - 4:41

score 89 · Answer 13 · 2020-12-30 23:57:39

89

Views

Problem proving $\lim_{n \rightarrow \infty} \int_S(f(x))^{\frac{1}{n}}=\mu(S)$

Published on 30 Dec 2020 - 23:57

score 113 · Answer 14 · 2021-01-05 10:56:22

113

Views

Pointwise and uniform convergence of $f_n(x)=n^2 \int_0^x \frac{\sin(x^n t)}{t} dt$

Published on 05 Jan 2021 - 10:56

score 155 · Answer 15 · 2021-01-06 09:27:56

155

Views

Sequence of M-Lipschitz functions

Published on 06 Jan 2021 - 9:27

List Question

Examples: Sequence of derivatives $\lim_{n\to\infty}f_n'(x)\neq \left(\lim_{n\to\infty}f_n(x)\right)'$

Application of Arzela-Ascoli Thrm where $(f'_n)$ is uniformly bounded

$\lim_{n\to \infty}{\int_{0}^1 (1-x^2)^n} = 0$

Find the limit function if this exist

How can we show that $f_n$ diverges and $F_n$ converges

A sequence that converges pointwise but not uniformly.

Checking exercise on uniform convergence

Evaluate $\sum _{n=1}^{k}\frac{{\left(-4\right)}^{n+2}}{(n-2{)}^{2}}\prod _{i=n}^{2k}\frac{i}{i+1}$ for $k=3$

If all $f_n(x) \to 0$ as $|x| \to \infty$ and $f_n \to f$ pointwise, does $f \to 0$ as $|x| \to \infty$?

Sequence of Continuous Functions converging pointwise

Show that limit of limits $\lim\limits_{n\to\infty}\lim\limits_{x\to c}x^n$ exists

Existence or non existence of uniformly convergent subsequence

Problem proving $\lim_{n \rightarrow \infty} \int_S(f(x))^{\frac{1}{n}}=\mu(S)$

Pointwise and uniform convergence of $f_n(x)=n^2 \int_0^x \frac{\sin(x^n t)}{t} dt$

Sequence of M-Lipschitz functions

Trending Questions

Popular # Hahtags

Popular Questions