Question

integral $ \int_0^{\frac{\pi}{3}}\mathrm{ln}\left(\frac{\mathrm{sin}(x)}{\mathrm{sin}(x+\frac{\pi}{3})}\right)\ \mathrm{d}x$

score 401 · Answer 1 · 2018-02-24 21:51:38

401

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integral $ \int_0^{\frac{\pi}{3}}\mathrm{ln}\left(\frac{\mathrm{sin}(x)}{\mathrm{sin}(x+\frac{\pi}{3})}\right)\ \mathrm{d}x$

Published on 24 Feb 2018 - 21:51

score 43 · Answer 2 · 2026-04-11 14:50:56

43

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Proof that Particular Limit Implies a Certain Statement

Published on 11 Apr 2026 - 14:50

score 194 · Answer 3 · 2026-04-12 01:38:03

194

Views

Use the epsilon-delta definition of limits for a multivariable function

Published on 12 Apr 2026 - 1:38

score 63 · Answer 4 · 2026-04-12 18:16:23

63

Views

Show that $e^{-n}=o(\frac{1}{n^2})$

Published on 12 Apr 2026 - 18:16

score 352 · Answer 5 · 2026-04-11 14:51:18

352

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Is this result correct? Limits don't depend on norm.

Published on 11 Apr 2026 - 14:51

score 83 · Answer 6 · 2018-02-25 08:32:01

83

Views

Prove or disapprove

Published on 25 Feb 2018 - 8:32

score 250 · Answer 7 · 2026-04-02 04:14:50

250

Views

Laurent series region of convergence

Published on 02 Apr 2026 - 4:14

score 105 · Answer 8 · 2018-02-25 12:38:22

105

Views

Find the limit of the sequence, $a_n= \frac{3n}{5+3^{n+1}}$

Published on 25 Feb 2018 - 12:38

score 643 · Answer 9 · 2026-03-25 04:42:40

643

Views

Compute $\lim_{x\to\frac{\pi}{2}} \frac{(1-\sin x)(1-\sin^2x)\dots(1-\sin^nx)}{\cos^{2n}x}$

Published on 25 Mar 2026 - 4:42

score 80 · Answer 10 · 2026-04-11 19:37:03

80

Views

Simple looking matrix limit

Published on 11 Apr 2026 - 19:37

score 911 · Answer 11 · 2026-04-13 03:36:10

911

Views

Limit as a definite Integral

Published on 13 Apr 2026 - 3:36

score 83 · Answer 12 · 2026-04-11 12:59:03

83

Views

simplify square root term

Published on 11 Apr 2026 - 12:59

score 94 · Answer 13 · 2026-04-12 04:31:09

94

Views

A problem about $\epsilon-\delta$ definition of a limit where the target is to find $\delta$

Published on 12 Apr 2026 - 4:31

score 503 · Answer 14 · 2026-03-25 06:13:28

503

Views

Let $a = \liminf x_n$, $b = \limsup x_n$. If $\lim (x_{n+1} - x_n) = 0$ then every element of $(a,b)$ is a subsequential limit of $(x_n)$

Published on 25 Mar 2026 - 6:13

score 226 · Answer 15 · 2026-03-25 13:55:09

226

Views

Prove or disprove $n! \in O(n^{n-2})$

Published on 25 Mar 2026 - 13:55

List Question

integral $ \int_0^{\frac{\pi}{3}}\mathrm{ln}\left(\frac{\mathrm{sin}(x)}{\mathrm{sin}(x+\frac{\pi}{3})}\right)\ \mathrm{d}x$

Proof that Particular Limit Implies a Certain Statement

Use the epsilon-delta definition of limits for a multivariable function

Show that $e^{-n}=o(\frac{1}{n^2})$

Is this result correct? Limits don't depend on norm.

Prove or disapprove

Laurent series region of convergence

Find the limit of the sequence, $a_n= \frac{3n}{5+3^{n+1}}$

Compute $\lim_{x\to\frac{\pi}{2}} \frac{(1-\sin x)(1-\sin^2x)\dots(1-\sin^nx)}{\cos^{2n}x}$

Simple looking matrix limit

Limit as a definite Integral

simplify square root term

A problem about $\epsilon-\delta$ definition of a limit where the target is to find $\delta$

Let $a = \liminf x_n$, $b = \limsup x_n$. If $\lim (x_{n+1} - x_n) = 0$ then every element of $(a,b)$ is a subsequential limit of $(x_n)$

Prove or disprove $n! \in O(n^{n-2})$

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