Question

Divergence of a sequence.

score 126 · Answer 1 · 2019-08-29 14:00:03

126

Views

Divergence of a sequence.

Published on 29 Aug 2019 - 14:00

score 70 · Answer 2 · 2019-08-30 04:29:25

70

Views

On Cartan's remark about interchange of summation and limit

Published on 30 Aug 2019 - 4:29

score 311 · Answer 3 · 2019-08-30 12:24:04

311

Views

Convergence of composition of sequence of functions on a compact subset of $\mathbb{R}$.

Published on 30 Aug 2019 - 12:24

score 1.5k · Answer 4 · 2019-08-31 08:38:49

1.5k

Views

Prove that $\lim_{n \to \infty} \int_0^1{nx^nf(x)}dx$ is equal to $f(1)$.

Published on 31 Aug 2019 - 8:38

score 112 · Answer 5 · 2019-09-04 15:47:53

112

Views

Null sequences and uniform convergence

Published on 04 Sep 2019 - 15:47

score 48 · Answer 6 · 2019-09-05 04:38:16

48

Views

Does this sequence of functions converge uniformly

Published on 05 Sep 2019 - 4:38

score 68 · Answer 7 · 2019-09-06 21:30:55

68

Views

Turning a continuous everywhere differentiable nowhere function into a smooth function by infinitely many times definite integration?

Published on 06 Sep 2019 - 21:30

score 47 · Answer 8 · 2019-09-09 17:07:16

47

Views

Proving a sequence of functions converging pointwise doesn't converge uniformly on $(0,\infty)$ but does in $[a,\infty)$ where $a>0$

Published on 09 Sep 2019 - 17:07

score 28 · Answer 9 · 2019-09-12 03:38:18

28

Views

General Formula for a sequence with indices increasing in the order $(2 * i)$, where i = 0,1,2,3...

Published on 12 Sep 2019 - 3:38

score 45 · Answer 10 · 2019-09-14 10:22:11

Any (convergent) sequence of functions in $\mathcal L^p$ that are bounded by a function $w\in\mathcal L^p$ converge in $\mathcal L^p$?

score 263 · Answer 11 · 2019-09-17 12:15:48

263

Views

A bounded sequence in $W^{1,1}((0,1))$ has no converging subsequence in $L^\infty ((0,1))$

Published on 17 Sep 2019 - 12:15

score 48 · Answer 12 · 2019-09-18 01:53:45

48

Views

If $f_n \rightarrow f$ pointwise and $f_n \rightarrow f'$ uniformly, then does f = f'?

Published on 18 Sep 2019 - 1:53

score 182 · Answer 13 · 2019-09-19 10:57:38

182

Views

Evaluate the limit $\lim\limits_{n\to0}\frac{(x)+(2x)+\cdots (nx)}{n^2}$

Published on 19 Sep 2019 - 10:57

score 86 · Answer 14 · 2019-09-24 09:48:36

86

Views

Why the convergence is pointwise in this question and why the translation is continuous?

Published on 24 Sep 2019 - 9:48

score 309 · Answer 15 · 2019-09-25 04:14:36

309

Views

Sequence of continuous functions on [0,1] converging to unbounded function.

Published on 25 Sep 2019 - 4:14

List Question

Divergence of a sequence.

On Cartan's remark about interchange of summation and limit

Convergence of composition of sequence of functions on a compact subset of $\mathbb{R}$.

Prove that $\lim_{n \to \infty} \int_0^1{nx^nf(x)}dx$ is equal to $f(1)$.

Null sequences and uniform convergence

Does this sequence of functions converge uniformly

Turning a continuous everywhere differentiable nowhere function into a smooth function by infinitely many times definite integration?

Proving a sequence of functions converging pointwise doesn't converge uniformly on $(0,\infty)$ but does in $[a,\infty)$ where $a>0$

General Formula for a sequence with indices increasing in the order $(2 * i)$, where i = 0,1,2,3...

Any (convergent) sequence of functions in $\mathcal L^p$ that are bounded by a function $w\in\mathcal L^p$ converge in $\mathcal L^p$?

A bounded sequence in $W^{1,1}((0,1))$ has no converging subsequence in $L^\infty ((0,1))$

If $f_n \rightarrow f$ pointwise and $f_n \rightarrow f'$ uniformly, then does f = f'?

Evaluate the limit $\lim\limits_{n\to0}\frac{(x)+(2x)+\cdots (nx)}{n^2}$

Why the convergence is pointwise in this question and why the translation is continuous?

Sequence of continuous functions on [0,1] converging to unbounded function.

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