Question

$\int_{-b}^{b} \frac{f(x)}{a^x+1} dx$ where $f:[-b,b]\rightarrow\mathbb{R}$ even function and $a,b>0$

score 261 · Answer 1 · 2018-01-22 17:46:38

261

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$\int_{-b}^{b} \frac{f(x)}{a^x+1} dx$ where $f:[-b,b]\rightarrow\mathbb{R}$ even function and $a,b>0$

Published on 22 Jan 2018 - 17:46

score 4.5k · Answer 2 · 2026-04-09 03:54:02

4.5k

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Proof of convergence of newton method for convex function

Published on 09 Apr 2026 - 3:54

score 247 · Answer 3 · 2026-04-11 09:23:29

247

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A question on a comment by Folland concerning the definition of Radon measures

Published on 11 Apr 2026 - 9:23

score 721 · Answer 4 · 2026-04-09 00:28:42

721

Views

Real numbers to real powers

Published on 09 Apr 2026 - 0:28

score 117 · Answer 5 · 2026-04-08 21:48:09

117

Views

Big O-notation asymptotics

Published on 08 Apr 2026 - 21:48

score 96 · Answer 6 · 2026-04-10 19:39:03

96

Views

Limit $\lim_{n \to \infty}\frac{n!-\sin(2n)}{\sqrt{(n+1)!}-\ln(n^2+3n)}$

Published on 10 Apr 2026 - 19:39

score 584 · Answer 7 · 2026-04-09 02:02:00

584

Views

Inverse of a map $T_{(p,q)}(X \times Y) \to T_p X \times T_p Y$

Published on 09 Apr 2026 - 2:02

score 868 · Answer 8 · 2026-03-30 01:15:06

868

Views

Proof of Arc-Length Formula in $\mathbb{R}^n$

Published on 30 Mar 2026 - 1:15

score 256 · Answer 9 · 2026-04-05 13:30:17

256

Views

Integral foliation identity

Published on 05 Apr 2026 - 13:30

score 365 · Answer 10 · 2026-03-24 23:48:07

365

Views

Find an integer N that satisfies the limit of the sequence: $\lim_{n\rightarrow\infty} \sqrt{n^2 + n} - n$

Published on 24 Mar 2026 - 23:48

score 25 · Answer 11 · 2018-01-22 21:45:37

Prove $\lim_{\overline{h}\rightarrow\overline{0}}||\frac{(h_1+h_2)^2sin(\frac{\pi}{h_1+h2})-h_1\pi-h_2\pi}{h}||=0$

score 1.3k · Answer 12 · 2026-04-01 08:07:38

1.3k

Views

infimum implies existence of a sequence

Published on 01 Apr 2026 - 8:07

score 129 · Answer 13 · 2026-04-10 12:10:48

129

Views

Differentiability of a piecewise-defined multivariable function

Published on 10 Apr 2026 - 12:10

score 196 · Answer 14 · 2026-04-09 06:42:23

196

Views

Is a projection f(x,y)=x producing an open set out of an open set, every closed set to a closed set and every compact set to a compact set?

Published on 09 Apr 2026 - 6:42

score 21 · Answer 15 · 2018-01-22 22:39:57

21

Views

Calculate the derivative of $f$ in the direction of a unitary vector.

Published on 22 Jan 2018 - 22:39

List Question

$\int_{-b}^{b} \frac{f(x)}{a^x+1} dx$ where $f:[-b,b]\rightarrow\mathbb{R}$ even function and $a,b>0$

Proof of convergence of newton method for convex function

A question on a comment by Folland concerning the definition of Radon measures

Real numbers to real powers

Big O-notation asymptotics

Limit $\lim_{n \to \infty}\frac{n!-\sin(2n)}{\sqrt{(n+1)!}-\ln(n^2+3n)}$

Inverse of a map $T_{(p,q)}(X \times Y) \to T_p X \times T_p Y$

Proof of Arc-Length Formula in $\mathbb{R}^n$

Integral foliation identity

Find an integer N that satisfies the limit of the sequence: $\lim_{n\rightarrow\infty} \sqrt{n^2 + n} - n$

Prove $\lim_{\overline{h}\rightarrow\overline{0}}||\frac{(h_1+h_2)^2sin(\frac{\pi}{h_1+h2})-h_1\pi-h_2\pi}{h}||=0$

infimum implies existence of a sequence

Differentiability of a piecewise-defined multivariable function

Is a projection f(x,y)=x producing an open set out of an open set, every closed set to a closed set and every compact set to a compact set?

Calculate the derivative of $f$ in the direction of a unitary vector.

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