Question

A small doubt about the dominated convergence theorem

score 1k · Answer 1 · 2026-04-12 12:29:02

1k

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A small doubt about the dominated convergence theorem

Published on 12 Apr 2026 - 12:29

score 137 · Answer 2 · 2026-04-09 02:40:35

137

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How to show to the limit of two sequences are equivalent?

Published on 09 Apr 2026 - 2:40

score 402 · Answer 3 · 2026-04-15 12:06:56

402

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Find a sequence of continuous periodic functions which converge in $L^2$ to a discontinuous periodic function

Published on 15 Apr 2026 - 12:06

score 158 · Answer 4 · 2026-04-17 05:24:05

158

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Divergence of a sequence with floors and square roots $a_n = n\sqrt2 - [n\sqrt2] + n\sqrt3 -[n\sqrt3]$

Published on 17 Apr 2026 - 5:24

score 98 · Answer 5 · 2026-04-15 16:34:36

98

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Prove that $\sum_{n=0}^{\infty}\frac{x^n}{n!}$ is not uniformly convergent on $(0, +\infty)\ni x$.

Published on 15 Apr 2026 - 16:34

score 295 · Answer 6 · 2026-04-15 19:50:45

295

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Talking about $f_n(x)=\frac{nx}{1+nx^2}$

Published on 15 Apr 2026 - 19:50

score 54 · Answer 7 · 2026-04-11 14:52:52

54

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Finding the n-th partial sum of a series

Published on 11 Apr 2026 - 14:52

score 315 · Answer 8 · 2026-04-15 05:38:00

315

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Determine whether the series is convergent or divergent. P series. Can I use the integral test too?

Published on 15 Apr 2026 - 5:38

score 91 · Answer 9 · 2026-03-25 19:07:12

91

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$X_1, X_2$, ... independent variables with support in [0,1] , mean $\mu\in(0,1)$, $Y_n=X_1X_2...X_n,\;\;\;n\geq1$. Study convergence of $Y_n$

Published on 25 Mar 2026 - 19:07

score 81 · Answer 10 · 2026-04-14 09:25:20

81

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Find all $\alpha$ such that integral converges

Published on 14 Apr 2026 - 9:25

score 665 · Answer 11 · 2026-04-16 16:45:30

665

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how to write the general formula for a telescoping series

Published on 16 Apr 2026 - 16:45

score 71 · Answer 12 · 2026-04-15 22:51:54

71

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convergent sequence in set of p-adic numbers

Published on 15 Apr 2026 - 22:51

score 150 · Answer 13 · 2026-04-17 00:39:32

150

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Find an example such that the sequence $(f(n)-f(n+1))$ is divergent.

Published on 17 Apr 2026 - 0:39

score 684 · Answer 14 · 2026-04-12 10:28:40

684

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If a positive terms series converges, must the alternating series of the same form also converge?

Published on 12 Apr 2026 - 10:28

score 67 · Answer 15 · 2026-04-17 11:50:22

67

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Convergent value of $\sum\limits^\infty_{n=1}n\left(\frac{5}{6}\right)^{n-1}$

Published on 17 Apr 2026 - 11:50

List Question

A small doubt about the dominated convergence theorem

How to show to the limit of two sequences are equivalent?

Find a sequence of continuous periodic functions which converge in $L^2$ to a discontinuous periodic function

Divergence of a sequence with floors and square roots $a_n = n\sqrt2 - [n\sqrt2] + n\sqrt3 -[n\sqrt3]$

Prove that $\sum_{n=0}^{\infty}\frac{x^n}{n!}$ is not uniformly convergent on $(0, +\infty)\ni x$.

Talking about $f_n(x)=\frac{nx}{1+nx^2}$

Finding the n-th partial sum of a series

Determine whether the series is convergent or divergent. P series. Can I use the integral test too?

$X_1, X_2$, ... independent variables with support in [0,1] , mean $\mu\in(0,1)$, $Y_n=X_1X_2...X_n,\;\;\;n\geq1$. Study convergence of $Y_n$

Find all $\alpha$ such that integral converges

how to write the general formula for a telescoping series

convergent sequence in set of p-adic numbers

Find an example such that the sequence $(f(n)-f(n+1))$ is divergent.

If a positive terms series converges, must the alternating series of the same form also converge?

Convergent value of $\sum\limits^\infty_{n=1}n\left(\frac{5}{6}\right)^{n-1}$

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