Question

Understanding a theorem involving limits

score 61 · Answer 1 · 2026-04-10 05:55:00

61

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Understanding a theorem involving limits

Published on 10 Apr 2026 - 5:55

score 1.3k · Answer 2 · 2026-05-10 13:09:07

1.3k

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Signum if x tends to 0

Published on 10 May 2026 - 13:09

score 180 · Answer 3 · 2026-04-17 11:09:00

180

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Find Value of $\int _{0}^{\frac{\pi}{4}} \sqrt{\tan x}{\sqrt{1-\tan x}}\,\mathrm dx$

Published on 17 Apr 2026 - 11:09

score 102 · Answer 4 · 2026-04-16 13:21:38

102

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Is $\sum_{n=1}^\infty \frac{n^2+1}{n!2^n}$ convergent? If yes, evaluate it.

Published on 16 Apr 2026 - 13:21

score 357 · Answer 5 · 2026-04-17 02:49:03

357

Views

evaluating $\lim_{x \rightarrow 0} \frac{\int_{0}^{2\sin x} \cos(t^2) dt}{2x}$

Published on 17 Apr 2026 - 2:49

score 62 · Answer 6 · 2026-04-16 00:15:19

62

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How to resolve $\lim_{x\to\infty} (1+\frac{1}{x^n})^x$

Published on 16 Apr 2026 - 0:15

score 119 · Answer 7 · 2026-05-10 13:50:39

119

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Evaluation of the limit $\lim_{q\rightarrow 1} \frac{\phi^5(q)_{\infty}}{\phi(q^5)_{\infty}}$

Published on 10 May 2026 - 13:50

score 97 · Answer 8 · 2026-04-12 16:47:31

97

Views

Inclusion of limit point in Collection set

Published on 12 Apr 2026 - 16:47

score 217 · Answer 9 · 2026-04-16 18:37:50

217

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$\lim_{x \rightarrow \infty}\frac{5^{x+1}+7^{x+1}}{5^x +7^x}$

Published on 16 Apr 2026 - 18:37

score 828 · Answer 10 · 2026-04-15 00:39:42

828

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Find the limit of $\lim_{ x\to 0 } \sin^{-1}(x) /\sin(3x)$ without using L'Hopital's rule

Published on 15 Apr 2026 - 0:39

score 206 · Answer 11 · 2026-04-16 02:15:02

206

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How to calculate $\lim\frac{x_n}{y_n}$ where $0<x_0<y_0<\frac{\pi}{2}$ and $x_{n+1}=\sin{x_n}, y_{n+1}=\sin{y_n}$?

Published on 16 Apr 2026 - 2:15

score 457 · Answer 12 · 2026-04-14 21:45:43

457

Views

Finding lim sup and lim inf of a recursive sequence

Published on 14 Apr 2026 - 21:45

score 904 · Answer 13 · 2026-04-08 22:01:00

904

Views

Defining limit of a function in terms of neighborhoods

Published on 08 Apr 2026 - 22:01

score 41 · Answer 14 · 2026-04-09 04:23:24

41

Views

Can the following limits be zero?

Published on 09 Apr 2026 - 4:23

score 98 · Answer 15 · 2026-05-10 20:02:30

98

Views

Is this proof of Cauchy about limits valid?

Published on 10 May 2026 - 20:02

List Question

Understanding a theorem involving limits

Signum if x tends to 0

Find Value of $\int _{0}^{\frac{\pi}{4}} \sqrt{\tan x}{\sqrt{1-\tan x}}\,\mathrm dx$

Is $\sum_{n=1}^\infty \frac{n^2+1}{n!2^n}$ convergent? If yes, evaluate it.

evaluating $\lim_{x \rightarrow 0} \frac{\int_{0}^{2\sin x} \cos(t^2) dt}{2x}$

How to resolve $\lim_{x\to\infty} (1+\frac{1}{x^n})^x$

Evaluation of the limit $\lim_{q\rightarrow 1} \frac{\phi^5(q)_{\infty}}{\phi(q^5)_{\infty}}$

Inclusion of limit point in Collection set

$\lim_{x \rightarrow \infty}\frac{5^{x+1}+7^{x+1}}{5^x +7^x}$

Find the limit of $\lim_{ x\to 0 } \sin^{-1}(x) /\sin(3x)$ without using L'Hopital's rule

How to calculate $\lim\frac{x_n}{y_n}$ where $0<x_0<y_0<\frac{\pi}{2}$ and $x_{n+1}=\sin{x_n}, y_{n+1}=\sin{y_n}$?

Finding lim sup and lim inf of a recursive sequence

Defining limit of a function in terms of neighborhoods

Can the following limits be zero?

Is this proof of Cauchy about limits valid?

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