Question

proving that $\sin\beta \cos(\beta+\theta)=-\sin\theta$ implies $\tan\theta=-\tan\beta$

score 167 · Answer 1 · 2026-03-31 11:25:49

167

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proving that $\sin\beta \cos(\beta+\theta)=-\sin\theta$ implies $\tan\theta=-\tan\beta$

Published on 31 Mar 2026 - 11:25

score 799 · Answer 2 · 2026-03-24 20:33:26

799

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How can I calculate $\lim\limits_{x\rightarrow 0} \frac{(1+x)^{\frac{1}{x}}-e}{x}$?

Published on 24 Mar 2026 - 20:33

score 243 · Answer 3 · 2018-01-23 10:28:01

Let $u_n$ be a positive and decreasing sequence of real numbers such that $\sum u_n$ converges. Show that $\lim_{n\to \infty}nu_n= 0$.

score 1.3k · Answer 4 · 2026-04-08 22:28:25

1.3k

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Trouble Understanding the Proof of the limit of Thomae's Function in $(0,1)$ is $0$

Published on 08 Apr 2026 - 22:28

score 155 · Answer 5 · 2026-03-26 09:17:51

155

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Special Case of Neoclassical Utility Function: $\lim_{\sigma \to 1} \frac{1-\sigma}{-c^{\sigma}} = \ln c?$

Published on 26 Mar 2026 - 9:17

score 233 · Answer 6 · 2026-03-25 03:07:40

233

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What is the condition $|f(x)| \le f(|x|)$ called?

Published on 25 Mar 2026 - 3:07

score 63 · Answer 7 · 2026-04-12 09:30:17

63

Views

Strange infinite sum

Published on 12 Apr 2026 - 9:30

score 99 · Answer 8 · 2026-04-03 15:59:36

99

Views

comptuting $ \lim\limits_{n\to\infty} \frac{3^{n}+\sqrt{n}}{n!+2^{(n+1)}}$

Published on 03 Apr 2026 - 15:59

score 101 · Answer 9 · 2018-01-23 12:19:41

101

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Prove Differential Function is Measurable

Published on 23 Jan 2018 - 12:19

score 1.6k · Answer 10 · 2026-04-06 16:24:56

1.6k

Views

Hardy-Littlewood maximal function not integrable in B(0,1)

Published on 06 Apr 2026 - 16:24

score 3k · Answer 11 · 2026-04-09 03:37:02

3k

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Embeddings between Hölder spaces $ C^{0,\beta} \hookrightarrow C^{0, \alpha} .$

Published on 09 Apr 2026 - 3:37

score 40 · Answer 12 · 2018-01-23 13:34:18

Does it exist $F\in \mathcal C^1(\Omega ,\mathbb R^3)$ s.t. $Curl(F)=0$ and $F(x,y,0)=\left(\frac{-y}{x^2+y^2},\frac{x}{x^2+y^2},0\right)$

score 3.2k · Answer 13 · 2026-04-09 03:35:53

3.2k

Views

Norm squared inequality

Published on 09 Apr 2026 - 3:35

score 31 · Answer 14 · 2026-03-24 23:43:16

31

Views

How changes in sequences affect radius of convergence

Published on 24 Mar 2026 - 23:43

score 148 · Answer 15 · 2026-04-12 17:32:25

148

Views

Elementary proof of norm convergence of Inverse Fourier Transform for $L^2$ function

Published on 12 Apr 2026 - 17:32

List Question

proving that $\sin\beta \cos(\beta+\theta)=-\sin\theta$ implies $\tan\theta=-\tan\beta$

How can I calculate $\lim\limits_{x\rightarrow 0} \frac{(1+x)^{\frac{1}{x}}-e}{x}$?

Let $u_n$ be a positive and decreasing sequence of real numbers such that $\sum u_n$ converges. Show that $\lim_{n\to \infty}nu_n= 0$.

Trouble Understanding the Proof of the limit of Thomae's Function in $(0,1)$ is $0$

Special Case of Neoclassical Utility Function: $\lim_{\sigma \to 1} \frac{1-\sigma}{-c^{\sigma}} = \ln c?$

What is the condition $|f(x)| \le f(|x|)$ called?

Strange infinite sum

comptuting $ \lim\limits_{n\to\infty} \frac{3^{n}+\sqrt{n}}{n!+2^{(n+1)}}$

Prove Differential Function is Measurable

Hardy-Littlewood maximal function not integrable in B(0,1)

Embeddings between Hölder spaces $ C^{0,\beta} \hookrightarrow C^{0, \alpha} .$

Does it exist $F\in \mathcal C^1(\Omega ,\mathbb R^3)$ s.t. $Curl(F)=0$ and $F(x,y,0)=\left(\frac{-y}{x^2+y^2},\frac{x}{x^2+y^2},0\right)$

Norm squared inequality

How changes in sequences affect radius of convergence

Elementary proof of norm convergence of Inverse Fourier Transform for $L^2$ function

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