Question

About trigonometric test

score 24 · Answer 1 · 2026-04-09 15:00:17

24

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About trigonometric test

Published on 09 Apr 2026 - 15:00

score 82 · Answer 2 · 2026-04-14 09:41:34

82

Views

Rate of growth of linear and logarithmic functions

Published on 14 Apr 2026 - 9:41

score 685 · Answer 3 · 2026-04-16 05:09:23

685

Views

Doubts on $ \lim_{x \rightarrow 0 } (1+\sin x) ^{\frac{1}{x}}$ .

Published on 16 Apr 2026 - 5:09

score 170 · Answer 4 · 2026-04-14 18:08:59

170

Views

Computing $\lim_{s \to \infty} \int_0^1 \left|\cos(sx)\right| \, dx$

Published on 14 Apr 2026 - 18:08

score 65 · Answer 5 · 2026-05-15 04:20:11

65

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Is $f_{n}\left(x\right)=\sin\left(x+\frac{x^{2}}{n}\right)$ uniformly convergent on $\left[0,\:2\pi\right]$

Published on 15 May 2026 - 4:20

score 151 · Answer 6 · 2026-05-15 04:19:23

151

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Why $\sum_{n=1}^{\infty}\frac{n\left(\sin x\right)^{n}}{2+n^{2}}$ is not uniformly convergent on $[0,\;\frac{\pi}{2})$?

Published on 15 May 2026 - 4:19

score 1.6k · Answer 7 · 2026-04-16 20:47:09

1.6k

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Derivative of inverse function proof verification

Published on 16 Apr 2026 - 20:47

score 469 · Answer 8 · 2026-04-14 08:03:02

469

Views

Is this "reverse the limit" process right?

Published on 14 Apr 2026 - 8:03

score 327 · Answer 9 · 2026-04-16 09:52:18

327

Views

Proof by $\epsilon-\delta$ definition $\lim_{x \to 0} \frac{e^x \cos x - 1}{x} = 1$

Published on 16 Apr 2026 - 9:52

score 203 · Answer 10 · 2026-04-13 12:52:09

203

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About the additive property of little-o(h)

Published on 13 Apr 2026 - 12:52

score 57 · Answer 11 · 2026-04-16 18:40:11

57

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Calculate $\lim_{\epsilon \rightarrow 0}{{1\over {\epsilon^2}}\cdot\biggl( 1-{1\over2}\int_{-1}^{1}}\sqrt{|1-\epsilon \cdot \sin (t)|}dt \biggl)$

Published on 16 Apr 2026 - 18:40

score 516 · Answer 12 · 2026-04-09 05:55:27

516

Views

What is the significance of limit of a function not existing?

Published on 09 Apr 2026 - 5:55

score 111 · Answer 13 · 2026-04-09 06:45:47

111

Views

Proof Verification: Squeeze theorem

Published on 09 Apr 2026 - 6:45

score 16.6k · Answer 14 · 2026-04-11 08:01:06

16.6k

Views

What do the negative and positive signs next to the limit mean?

Published on 11 Apr 2026 - 8:01

score 148 · Answer 15 · 2026-04-17 04:41:36

148

Views

Find $\lim_{x\to 0^+} \int_x^{+\infty} t^{-1}e^{-t}dt/{\ln(1/x)}$

Published on 17 Apr 2026 - 4:41

List Question

About trigonometric test

Rate of growth of linear and logarithmic functions

Doubts on $ \lim_{x \rightarrow 0 } (1+\sin x) ^{\frac{1}{x}}$ .

Computing $\lim_{s \to \infty} \int_0^1 \left|\cos(sx)\right| \, dx$

Is $f_{n}\left(x\right)=\sin\left(x+\frac{x^{2}}{n}\right)$ uniformly convergent on $\left[0,\:2\pi\right]$

Why $\sum_{n=1}^{\infty}\frac{n\left(\sin x\right)^{n}}{2+n^{2}}$ is not uniformly convergent on $[0,\;\frac{\pi}{2})$?

Derivative of inverse function proof verification

Is this "reverse the limit" process right?

Proof by $\epsilon-\delta$ definition $\lim_{x \to 0} \frac{e^x \cos x - 1}{x} = 1$

About the additive property of little-o(h)

Calculate $\lim_{\epsilon \rightarrow 0}{{1\over {\epsilon^2}}\cdot\biggl( 1-{1\over2}\int_{-1}^{1}}\sqrt{|1-\epsilon \cdot \sin (t)|}dt \biggl)$

What is the significance of limit of a function not existing?

Proof Verification: Squeeze theorem

What do the negative and positive signs next to the limit mean?

Find $\lim_{x\to 0^+} \int_x^{+\infty} t^{-1}e^{-t}dt/{\ln(1/x)}$

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