Question

Showing $|\int_{n\pi}^{(n+1)\pi}\frac {\sin x}x\,\mathrm dx| > \frac{1}{2n+1}$

score 74 · Answer 1 · 2026-04-16 06:47:23

74

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Showing $|\int_{n\pi}^{(n+1)\pi}\frac {\sin x}x\,\mathrm dx| > \frac{1}{2n+1}$

Published on 16 Apr 2026 - 6:47

score 95 · Answer 2 · 2026-04-23 11:10:44

95

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Evaluate $\lim_{t\to\infty}\sum_{n=1}^{\infty}e^{-\pi tn^2}$

Published on 23 Apr 2026 - 11:10

score 41 · Answer 3 · 2026-04-15 20:35:37

41

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What is the range of $ \ f(x,y)=\left( (\cos x+2) \cos y, \ (\cos x+2) \sin y , \ \sin x \right) \ $

Published on 15 Apr 2026 - 20:35

score 135 · Answer 4 · 2026-04-15 19:04:57

135

Views

Prove that $\int_0^{\infty}\sin(x^2)dx$ converges.

Published on 15 Apr 2026 - 19:04

score 30 · Answer 5 · 2026-04-09 21:14:53

30

Views

Lemmas for Construction of Leb. Measure in RCA

Published on 09 Apr 2026 - 21:14

score 168 · Answer 6 · 2026-04-16 06:42:39

168

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Show that if $\sum_{n=1}^\infty\mu(A_n) <\infty$ we have that $\mu(B) = 0$.

Published on 16 Apr 2026 - 6:42

score 44 · Answer 7 · 2026-04-16 23:32:59

44

Views

Showing that $f(x,y)=(x^2+y^2,x^2-y^2)$ is continous at $(x_0,y_0)$

Published on 16 Apr 2026 - 23:32

score 82 · Answer 8 · 2026-04-16 02:41:54

82

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Prove that $\Gamma (x)=\int_0^\infty t^{x-1}e^{-t}dt$ is continuous at $x=1^+$.

Published on 16 Apr 2026 - 2:41

score 682 · Answer 9 · 2026-04-13 13:17:28

682

Views

Proof verification: topology on the extended real line

Published on 13 Apr 2026 - 13:17

score 87 · Answer 10 · 2026-04-09 04:31:05

87

Views

Convergence of a series to prove continuity.

Published on 09 Apr 2026 - 4:31

score 97 · Answer 11 · 2026-05-10 16:07:22

97

Views

Finite Sum evaluation

Published on 10 May 2026 - 16:07

score 56 · Answer 12 · 2026-04-15 17:22:20

56

Views

For $S\subset T$ for arbitrary element s of S, $s\leq t$ for some $t\in T$

Published on 15 Apr 2026 - 17:22

score 48 · Answer 13 · 2026-05-14 10:13:33

48

Views

Show uniform convergence of a series involving ln function

Published on 14 May 2026 - 10:13

score 32 · Answer 14 · 2026-05-11 08:39:46

32

Views

approximation of the sum of prime superior to the sum of integer?

Published on 11 May 2026 - 8:39

score 94 · Answer 15 · 2026-04-25 08:28:28

94

Views

How to prove that $\int \int _{\Omega} \frac{\sin(x)\sin(y) dx dy}{(x+y)^{p}}$ is divergent

Published on 25 Apr 2026 - 8:28

List Question

Showing $|\int_{n\pi}^{(n+1)\pi}\frac {\sin x}x\,\mathrm dx| > \frac{1}{2n+1}$

Evaluate $\lim_{t\to\infty}\sum_{n=1}^{\infty}e^{-\pi tn^2}$

What is the range of $ \ f(x,y)=\left( (\cos x+2) \cos y, \ (\cos x+2) \sin y , \ \sin x \right) \ $

Prove that $\int_0^{\infty}\sin(x^2)dx$ converges.

Lemmas for Construction of Leb. Measure in RCA

Show that if $\sum_{n=1}^\infty\mu(A_n) <\infty$ we have that $\mu(B) = 0$.

Showing that $f(x,y)=(x^2+y^2,x^2-y^2)$ is continous at $(x_0,y_0)$

Prove that $\Gamma (x)=\int_0^\infty t^{x-1}e^{-t}dt$ is continuous at $x=1^+$.

Proof verification: topology on the extended real line

Convergence of a series to prove continuity.

Finite Sum evaluation

For $S\subset T$ for arbitrary element s of S, $s\leq t$ for some $t\in T$

Show uniform convergence of a series involving ln function

approximation of the sum of prime superior to the sum of integer?

How to prove that $\int \int _{\Omega} \frac{\sin(x)\sin(y) dx dy}{(x+y)^{p}}$ is divergent

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