Question

Limit $\lim_{x\to∞}{(x^3-x^2+{x \over2})e^{1\over x}-\sqrt{x^6-1}}$

score 53 · Answer 1 · 2026-03-24 23:46:04

53

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Limit $\lim_{x\to∞}{(x^3-x^2+{x \over2})e^{1\over x}-\sqrt{x^6-1}}$

Published on 24 Mar 2026 - 23:46

score 73 · Answer 2 · 2018-01-28 23:47:15

73

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l'hospital of a not defined function

Published on 28 Jan 2018 - 23:47

score 203 · Answer 3 · 2018-01-29 01:52:57

203

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$\lim\limits_{x\to\infty}\frac{\sqrt{4x^2+x^4}+3x^2}{x^2-5x}$

Published on 29 Jan 2018 - 1:52

score 143 · Answer 4 · 2018-01-29 09:35:31

143

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Does the existence of $f'(0)$ imply that $\lim_{x\to 0}\frac{f(x)-f(\ln(1+x))}{x-\ln(1+x)}=f'(0)$?

Published on 29 Jan 2018 - 9:35

score 1k · Answer 5 · 2026-04-11 04:58:47

1k

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How to calculate limit of nth root of $(1+2^n)$

Published on 11 Apr 2026 - 4:58

score 332 · Answer 6 · 2026-03-25 04:42:46

332

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how to get the limit of $\lim_{n \to \infty}\left( \sqrt{n+\sqrt{n}}-\sqrt{n} \right)$

Published on 25 Mar 2026 - 4:42

score 81 · Answer 7 · 2026-03-25 16:03:51

81

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Find $\lim \limits_{n \to \infty}(n-\sum_{k=1}^n\cos{\frac{\sqrt{k}}{n})}$

Published on 25 Mar 2026 - 16:03

score 629 · Answer 8 · 2026-03-25 16:03:48

629

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Convergence or divergence of $\sum_{n=1}^{\infty}\frac{1}{n^{2-\cos n}}$

Published on 25 Mar 2026 - 16:03

score 111 · Answer 9 · 2026-04-08 22:44:13

111

Views

Let $f: \mathbb{R} \to \mathbb{R}$ and $\exists \ \ b \in \mathbb{R} : f(x+b)=\sqrt{f(x)-f^2(x)}+\frac{1}{2}$

Published on 08 Apr 2026 - 22:44

score 240 · Answer 10 · 2026-04-07 09:27:39

240

Views

Convergence of $\int_0^{\pi/2}(1+\cos2x)^{-0.5}\,dx$

Published on 07 Apr 2026 - 9:27

score 100 · Answer 11 · 2026-04-11 01:28:53

100

Views

limit and derivative question

Published on 11 Apr 2026 - 1:28

score 59 · Answer 12 · 2018-01-29 13:24:56

59

Views

Right and left limits of $\frac{\sqrt{\sin x^2}}x$ at 0

Published on 29 Jan 2018 - 13:24

score 291 · Answer 13 · 2018-01-29 14:04:51

291

Views

Find the limit of $a_{n+1}=\cos(a_n)$

Published on 29 Jan 2018 - 14:04

score 97 · Answer 14 · 2026-04-11 01:28:52

97

Views

Showing that a limit of a two variable function does not exist?

Published on 11 Apr 2026 - 1:28

score 145 · Answer 15 · 2018-01-29 17:15:27

145

Views

Find $\lim_{n\to \infty} (1-\frac{1}{2}+\frac{1}{3}-...-\frac{1}{2n})$

Published on 29 Jan 2018 - 17:15

List Question

Limit $\lim_{x\to∞}{(x^3-x^2+{x \over2})e^{1\over x}-\sqrt{x^6-1}}$

l'hospital of a not defined function

$\lim\limits_{x\to\infty}\frac{\sqrt{4x^2+x^4}+3x^2}{x^2-5x}$

Does the existence of $f'(0)$ imply that $\lim_{x\to 0}\frac{f(x)-f(\ln(1+x))}{x-\ln(1+x)}=f'(0)$?

How to calculate limit of nth root of $(1+2^n)$

how to get the limit of $\lim_{n \to \infty}\left( \sqrt{n+\sqrt{n}}-\sqrt{n} \right)$

Find $\lim \limits_{n \to \infty}(n-\sum_{k=1}^n\cos{\frac{\sqrt{k}}{n})}$

Convergence or divergence of $\sum_{n=1}^{\infty}\frac{1}{n^{2-\cos n}}$

Let $f: \mathbb{R} \to \mathbb{R}$ and $\exists \ \ b \in \mathbb{R} : f(x+b)=\sqrt{f(x)-f^2(x)}+\frac{1}{2}$

Convergence of $\int_0^{\pi/2}(1+\cos2x)^{-0.5}\,dx$

limit and derivative question

Right and left limits of $\frac{\sqrt{\sin x^2}}x$ at 0

Find the limit of $a_{n+1}=\cos(a_n)$

Showing that a limit of a two variable function does not exist?

Find $\lim_{n\to \infty} (1-\frac{1}{2}+\frac{1}{3}-...-\frac{1}{2n})$

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