Question

If $\lim_{n→∞} f_n = f$ pointwise on an interval $I$ and if each $f_n$, is twice differentiable on $I$, then $\lim_{n→∞} f_n = f$ uniformly on $I$

score 53 · Answer 1 · 2026-04-17 06:00:28

53

Views

If $\lim_{n→∞} f_n = f$ pointwise on an interval $I$ and if each $f_n$, is twice differentiable on $I$, then $\lim_{n→∞} f_n = f$ uniformly on $I$

Published on 17 Apr 2026 - 6:00

score 5.1k · Answer 2 · 2026-04-12 22:28:20

5.1k

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Uniform and Pointwise convergence Almost Everywhere

Published on 12 Apr 2026 - 22:28

score 311 · Answer 3 · 2026-04-16 07:52:08

311

Views

Convergence of $f_n(x) = x+ (1/n) $ for $x \in \mathbb R$

Published on 16 Apr 2026 - 7:52

score 202 · Answer 4 · 2026-04-15 03:33:27

202

Views

Proving that convergence of a sequence of functions is not uniform

Published on 15 Apr 2026 - 3:33

score 213 · Answer 5 · 2026-04-13 02:26:43

213

Views

Verifying work on Fourier series

Published on 13 Apr 2026 - 2:26

score 82 · Answer 6 · 2026-04-13 17:04:34

82

Views

Is there a sequence of $ C^\infty $ compactly supported functions limiting to $ f(x)$=1

Published on 13 Apr 2026 - 17:04

score 87 · Answer 7 · 2026-04-13 14:45:03

87

Views

Uniformly convergence and bounded

Published on 13 Apr 2026 - 14:45

score 215 · Answer 8 · 2026-04-15 21:11:45

215

Views

Uniform convergence of the reciprocals

Published on 15 Apr 2026 - 21:11

score 43 · Answer 9 · 2026-04-02 01:20:30

43

Views

Uniform continuity piece wise lienar

Published on 02 Apr 2026 - 1:20

score 370 · Answer 10 · 2026-04-14 09:29:17

370

Views

Is $f_n(x)=\frac{x}{n}\sin\frac{x}{n}$ uniform convegent

Published on 14 Apr 2026 - 9:29

score 761 · Answer 11 · 2026-04-02 03:21:10

761

Views

$\forall \epsilon >0 \exists$ a piecewise linear function $g$% such that for a continous function $f$

Published on 02 Apr 2026 - 3:21

score 103 · Answer 12 · 2026-04-17 03:59:00

103

Views

Finding a sequence $(x_n)$ such that $\lim_{n \to \infty} f_n(x_n)\neq \lim_{n \to \infty} f(x_n)$

Published on 17 Apr 2026 - 3:59

score 46 · Answer 13 · 2026-04-13 12:56:23

46

Views

If I have a summand $\sum_{n=-\infty}^{0}$ can I replace it with $\sum_{n=0}^{\infty}$ if I replace every $n$ by $-n$.

Published on 13 Apr 2026 - 12:56

score 107 · Answer 14 · 2026-04-12 23:24:57

107

Views

Does this series converge uniformly?

Published on 12 Apr 2026 - 23:24

score 798 · Answer 15 · 2026-04-11 15:12:47

798

Views

Prove: a set of functions is closed if it contains the pointwise limit and converges uniformly to it

Published on 11 Apr 2026 - 15:12

List Question

If $\lim_{n→∞} f_n = f$ pointwise on an interval $I$ and if each $f_n$, is twice differentiable on $I$, then $\lim_{n→∞} f_n = f$ uniformly on $I$

Uniform and Pointwise convergence Almost Everywhere

Convergence of $f_n(x) = x+ (1/n) $ for $x \in \mathbb R$

Proving that convergence of a sequence of functions is not uniform

Verifying work on Fourier series

Is there a sequence of $ C^\infty $ compactly supported functions limiting to $ f(x)$=1

Uniformly convergence and bounded

Uniform convergence of the reciprocals

Uniform continuity piece wise lienar

Is $f_n(x)=\frac{x}{n}\sin\frac{x}{n}$ uniform convegent

$\forall \epsilon >0 \exists$ a piecewise linear function $g$% such that for a continous function $f$

Finding a sequence $(x_n)$ such that $\lim_{n \to \infty} f_n(x_n)\neq \lim_{n \to \infty} f(x_n)$

If I have a summand $\sum_{n=-\infty}^{0}$ can I replace it with $\sum_{n=0}^{\infty}$ if I replace every $n$ by $-n$.

Does this series converge uniformly?

Prove: a set of functions is closed if it contains the pointwise limit and converges uniformly to it

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