Question

Evaluate the given limit to infinity

score 59 · Answer 1 · 2026-04-06 05:47:57

59

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Evaluate the given limit to infinity

Published on 06 Apr 2026 - 5:47

score 13.4k · Answer 2 · 2026-04-12 05:28:16

13.4k

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Are functions still continuous even with removable discontinuities?

Published on 12 Apr 2026 - 5:28

score 145 · Answer 3 · 2026-03-25 20:11:54

145

Views

Finding $\lim x_n$ when $\left( 1+\frac{1}{n}\right)^{n+x_n}=1+\frac{1}{1!}+\frac{1}{2!}+\dots+\frac{1}{n!}$

Published on 25 Mar 2026 - 20:11

score 100 · Answer 4 · 2026-03-25 03:03:07

100

Views

$(a_n)_{n \geq 1}=\mathbb{Q}_+$ and $\sqrt[n]{a_n}$ is convergent

Published on 25 Mar 2026 - 3:03

score 362 · Answer 5 · 2018-02-12 00:12:56

362

Views

How to find ${\lim\limits_{x\to 0^+} \frac{1}{x} \int_0^{x} \sin(\frac{1}{t})}\,\mathrm dt$

Published on 12 Feb 2018 - 0:12

score 78 · Answer 6 · 2018-02-12 02:54:42

78

Views

Then, find $\lim \left ( x_{n+ 1}- x_{n} \right )$

Published on 12 Feb 2018 - 2:54

score 61 · Answer 7 · 2026-04-09 22:38:00

61

Views

Towering limits

Published on 09 Apr 2026 - 22:38

score 223 · Answer 8 · 2026-04-11 10:34:44

223

Views

Does the series admit a limit as $\alpha\to 0$?

Published on 11 Apr 2026 - 10:34

score 47 · Answer 9 · 2026-03-27 14:11:00

47

Views

Limit containing an unknown inverse function

Published on 27 Mar 2026 - 14:11

score 57 · Answer 10 · 2026-04-10 21:53:20

57

Views

Limit of a two variable easy function

Published on 10 Apr 2026 - 21:53

score 432 · Answer 11 · 2018-02-12 14:25:02

432

Views

How to calculate this limit $\lim_{x\to\infty}\frac{\sqrt{9x^2+2x-3}}{(8x^5-6x+1)^{\frac 13}}$

Published on 12 Feb 2018 - 14:25

score 1.1k · Answer 12 · 2026-04-12 13:35:45

1.1k

Views

L'Hospital's Rule for a fraction where the numerator clearly grows faster than the denominator

Published on 12 Apr 2026 - 13:35

score 61 · Answer 13 · 2026-03-26 22:21:37

61

Views

n vs. N in notation (proof writing)

Published on 26 Mar 2026 - 22:21

score 324 · Answer 14 · 2026-04-07 09:45:09

324

Views

A limit question of 3-variable-functions. $\lim\limits_{ (x,y,z) \to (0,0,0)} \frac {xyz^2}{x^2+y^4+z^6}$

Published on 07 Apr 2026 - 9:45

score 82 · Answer 15 · 2026-03-25 11:03:16

82

Views

Show that $y(n)=n\log_2n$, $y(n)∈O(n^2)$.

Published on 25 Mar 2026 - 11:03

List Question

Evaluate the given limit to infinity

Are functions still continuous even with removable discontinuities?

Finding $\lim x_n$ when $\left( 1+\frac{1}{n}\right)^{n+x_n}=1+\frac{1}{1!}+\frac{1}{2!}+\dots+\frac{1}{n!}$

$(a_n)_{n \geq 1}=\mathbb{Q}_+$ and $\sqrt[n]{a_n}$ is convergent

How to find ${\lim\limits_{x\to 0^+} \frac{1}{x} \int_0^{x} \sin(\frac{1}{t})}\,\mathrm dt$

Then, find $\lim \left ( x_{n+ 1}- x_{n} \right )$

Towering limits

Does the series admit a limit as $\alpha\to 0$?

Limit containing an unknown inverse function

Limit of a two variable easy function

How to calculate this limit $\lim_{x\to\infty}\frac{\sqrt{9x^2+2x-3}}{(8x^5-6x+1)^{\frac 13}}$

L'Hospital's Rule for a fraction where the numerator clearly grows faster than the denominator

n vs. N in notation (proof writing)

A limit question of 3-variable-functions. $\lim\limits_{ (x,y,z) \to (0,0,0)} \frac {xyz^2}{x^2+y^4+z^6}$

Show that $y(n)=n\log_2n$, $y(n)∈O(n^2)$.

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