Question

Trying to determine $\lim_{x\to\infty }\frac {x}{\sin x} $

score 79 · Answer 1 · 2018-01-17 08:15:03

79

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Trying to determine $\lim_{x\to\infty }\frac {x}{\sin x} $

Published on 17 Jan 2018 - 8:15

score 290 · Answer 2 · 2026-03-31 05:24:40

290

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Limit of $\lim\limits_{n\to+\infty}\left(\cos\frac{x}{n} + \sin\frac{2x}{n}\right)^n $

Published on 31 Mar 2026 - 5:24

score 48 · Answer 3 · 2026-04-03 14:56:11

48

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How to show $\sec^{-1}(1+x) = O(x^{1/2})$ as $x\rightarrow 0$

Published on 03 Apr 2026 - 14:56

score 398 · Answer 4 · 2026-03-22 08:13:54

398

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Prove that $(a_n)$ is eventually constant

Published on 22 Mar 2026 - 8:13

score 117 · Answer 5 · 2026-04-09 08:10:04

117

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$x_0 \in [0,\infty)$ and $x_{n+1} =\sqrt{\frac{3x_n+2}{2}}$. Compute $\lim_\limits{n\to\infty} x_n$

Published on 09 Apr 2026 - 8:10

score 175 · Answer 6 · 2026-03-31 05:24:04

175

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How to compute $\lim\limits_{n\to\infty}\int_0^\pi \frac{\sin x}{1+3\cos^2(nx)}\text dx$

Published on 31 Mar 2026 - 5:24

score 37 · Answer 7 · 2018-01-17 15:02:28

37

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Find the $a^3-b^2$ where $a,b$ satisfies this limit equation.

Published on 17 Jan 2018 - 15:02

score 106 · Answer 8 · 2026-04-10 04:41:52

106

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Limit of $\lim_{x \rightarrow 0^+} e^{\frac{x}{x}}$

Published on 10 Apr 2026 - 4:41

score 112 · Answer 9 · 2026-04-09 08:09:21

112

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Substitution in the limit $x^{2}\sin(\frac{1}{x})$ where $x \to \infty$

Published on 09 Apr 2026 - 8:09

score 114 · Answer 10 · 2026-04-09 12:21:17

114

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Evaluate $\lim_{ x\to \infty} x^2 \times \log \left(x \cot^{-1}x\right)$

Published on 09 Apr 2026 - 12:21

score 1.3k · Answer 11 · 2026-04-09 08:23:54

1.3k

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Difficult limit of two variables

Published on 09 Apr 2026 - 8:23

score 62 · Answer 12 · 2026-03-22 13:12:37

62

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Bivariate Limits - is my solution correct?

Published on 22 Mar 2026 - 13:12

score 103 · Answer 13 · 2018-01-18 07:59:32

103

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How to find $\lim_{x\rightarrow 0^+} \frac{e^{-a/x}}{x}$?

Published on 18 Jan 2018 - 7:59

score 38 · Answer 14 · 2026-04-05 08:37:53

38

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Consider this limit

Published on 05 Apr 2026 - 8:37

score 1.4k · Answer 15 · 2026-03-24 23:58:04

1.4k

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If $f(x)=\sum_{n=0}^{\infty}\frac{x^{2n+1}}{(2n+1)!!}$ then prove that $f'(x)=1+xf(x)$

Published on 24 Mar 2026 - 23:58

List Question

Trying to determine $\lim_{x\to\infty }\frac {x}{\sin x} $

Limit of $\lim\limits_{n\to+\infty}\left(\cos\frac{x}{n} + \sin\frac{2x}{n}\right)^n $

How to show $\sec^{-1}(1+x) = O(x^{1/2})$ as $x\rightarrow 0$

Prove that $(a_n)$ is eventually constant

$x_0 \in [0,\infty)$ and $x_{n+1} =\sqrt{\frac{3x_n+2}{2}}$. Compute $\lim_\limits{n\to\infty} x_n$

How to compute $\lim\limits_{n\to\infty}\int_0^\pi \frac{\sin x}{1+3\cos^2(nx)}\text dx$

Find the $a^3-b^2$ where $a,b$ satisfies this limit equation.

Limit of $\lim_{x \rightarrow 0^+} e^{\frac{x}{x}}$

Substitution in the limit $x^{2}\sin(\frac{1}{x})$ where $x \to \infty$

Evaluate $\lim_{ x\to \infty} x^2 \times \log \left(x \cot^{-1}x\right)$

Difficult limit of two variables

Bivariate Limits - is my solution correct?

How to find $\lim_{x\rightarrow 0^+} \frac{e^{-a/x}}{x}$?

Consider this limit

If $f(x)=\sum_{n=0}^{\infty}\frac{x^{2n+1}}{(2n+1)!!}$ then prove that $f'(x)=1+xf(x)$

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