Question

Calculate this limit : $\lim_{x\rightarrow +\infty}\left[x\left(4\arctan\left(\frac{x+1}{x}\right)-\pi\right)\right]$

score 169 · Answer 1 · 2016-11-03 14:58:29

169

Views

Calculate this limit : $\lim_{x\rightarrow +\infty}\left[x\left(4\arctan\left(\frac{x+1}{x}\right)-\pi\right)\right]$

Published on 03 Nov 2016 - 14:58

score 95 · Answer 2 · 2016-11-07 12:29:57

95

Views

What is the limit $ \displaystyle \lim_{x\to\infty}\bigg[x^2(\mathrm{e}^{\frac{1}{x}}-\mathrm{e}^{\frac{1}{x+1}})\bigg] $?

Published on 07 Nov 2016 - 12:29

score 88 · Answer 3 · 2016-11-07 12:54:19

88

Views

What is $\lim_{x\to\infty}\left(\frac{a_1^{1/x}+a_2^{1/x}+\dots+a_n^{1/x}}{b_1^{1/x}+b_2^{1/x}+\dots+b_n^{1/x}}\right)^x$?

Published on 07 Nov 2016 - 12:54

score 117 · Answer 4 · 2016-11-07 15:38:52

117

Views

What is the limit $\lim_{n\to\infty}\sqrt[n]{n^2+3n+1}$?

Published on 07 Nov 2016 - 15:38

score 245 · Answer 5 · 2016-11-09 16:16:33

245

Views

Show that in $\lim_{x\to 0}\frac{x^3\sin(1/x)}{\sin^2 x}$ can't be applied L'Hopital's Rule

Published on 09 Nov 2016 - 16:16

score 472 · Answer 6 · 2016-11-10 03:32:37

472

Views

$\lim _{x \to a} \frac{x^n-a^n}{x-a}$ when $n$ is irrational.

Published on 10 Nov 2016 - 3:32

score 304 · Answer 7 · 2016-11-10 21:01:52

Calculating $ \lim_{x\to \frac {\pi}{6}} \left(\frac {\sin(x- \frac{\pi}{6})}{\frac{{\sqrt3}}{2}-\cos x}\right)$, without using L'Hospital rule

score 83 · Answer 8 · 2016-11-11 21:20:56

83

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How to evaluate $\lim_{x \to1}\frac{x- \ln x-1}{(x-1)^2}$ without L'Hopital?

Published on 11 Nov 2016 - 21:20

score 384 · Answer 9 · 2016-11-12 00:26:06

384

Views

Find limit without L' Hopital's rule?

Published on 12 Nov 2016 - 0:26

score 37 · Answer 10 · 2016-11-12 18:59:33

37

Views

Find limit of function without l'Hospital method.

Published on 12 Nov 2016 - 18:59

score 53 · Answer 11 · 2016-11-12 20:36:26

53

Views

Solving limit without L'Hôpitale rule or infinity serieses

Published on 12 Nov 2016 - 20:36

score 876 · Answer 12 · 2016-11-12 20:50:27

876

Views

Find a limit without l'Hospital: $\lim_{x\to -\infty}\left(\frac{\ln(2^x + 1)}{\ln(3^x+ 1)}\right)$

Published on 12 Nov 2016 - 20:50

score 213 · Answer 13 · 2016-11-13 17:38:38

213

Views

Finding the limit $\lim_{n\to\infty}\sqrt[n]{4^n+9^n}$ using L'Hopital's rule

Published on 13 Nov 2016 - 17:38

score 110 · Answer 14 · 2026-03-30 04:41:03

110

Views

Show that $\lim\limits_{x \to \infty} \frac{\lfloor x \rfloor}{x} = 1$

Published on 30 Mar 2026 - 4:41

score 375 · Answer 15 · 2016-11-13 23:11:26

375

Views

how to calculate $\lim_{x\rightarrow 0} \frac{(\sin{\pi \sqrt{ \cos (x)}})}{x}$ without L'Hopital?

Published on 13 Nov 2016 - 23:11

List Question

Calculate this limit : $\lim_{x\rightarrow +\infty}\left[x\left(4\arctan\left(\frac{x+1}{x}\right)-\pi\right)\right]$

What is the limit $ \displaystyle \lim_{x\to\infty}\bigg[x^2(\mathrm{e}^{\frac{1}{x}}-\mathrm{e}^{\frac{1}{x+1}})\bigg] $?

What is $\lim_{x\to\infty}\left(\frac{a_1^{1/x}+a_2^{1/x}+\dots+a_n^{1/x}}{b_1^{1/x}+b_2^{1/x}+\dots+b_n^{1/x}}\right)^x$?

What is the limit $\lim_{n\to\infty}\sqrt[n]{n^2+3n+1}$?

Show that in $\lim_{x\to 0}\frac{x^3\sin(1/x)}{\sin^2 x}$ can't be applied L'Hopital's Rule

$\lim _{x \to a} \frac{x^n-a^n}{x-a}$ when $n$ is irrational.

Calculating $ \lim_{x\to \frac {\pi}{6}} \left(\frac {\sin(x- \frac{\pi}{6})}{\frac{{\sqrt3}}{2}-\cos x}\right)$, without using L'Hospital rule

How to evaluate $\lim_{x \to1}\frac{x- \ln x-1}{(x-1)^2}$ without L'Hopital?

Find limit without L' Hopital's rule?

Find limit of function without l'Hospital method.

Solving limit without L'Hôpitale rule or infinity serieses

Find a limit without l'Hospital: $\lim_{x\to -\infty}\left(\frac{\ln(2^x + 1)}{\ln(3^x+ 1)}\right)$

Finding the limit $\lim_{n\to\infty}\sqrt[n]{4^n+9^n}$ using L'Hopital's rule

Show that $\lim\limits_{x \to \infty} \frac{\lfloor x \rfloor}{x} = 1$

how to calculate $\lim_{x\rightarrow 0} \frac{(\sin{\pi \sqrt{ \cos (x)}})}{x}$ without L'Hopital?

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