Question

How to solve $\lim\limits_{x \to +\infty} \left(\frac{(\ln(x+1))^x}{(2x)^{x/3}}\right)$?

score 302 · Answer 1 · 2016-01-03 14:34:02

302

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How to solve $\lim\limits_{x \to +\infty} \left(\frac{(\ln(x+1))^x}{(2x)^{x/3}}\right)$?

Published on 03 Jan 2016 - 14:34

score 354 · Answer 2 · 2016-01-03 15:58:13

354

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How can I deduce that $\lim\limits_{x\to0} \frac{\ln(1+x)}x=1$ without Taylor series or L'Hospital's rule?

Published on 03 Jan 2016 - 15:58

score 101 · Answer 3 · 2016-01-03 17:47:16

101

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How to compute $\lim\limits_{x \to +\infty} \left(\frac{x^4+x^5\sin\left(\frac{1}{x}\right)}{x^4\ln\left(\frac{x}{2x+1}\right)-x} \right)$?

Published on 03 Jan 2016 - 17:47

score 150 · Answer 4 · 2016-01-03 22:08:03

150

Views

on a limit exercise without using l'Hôpital's rule.

Published on 03 Jan 2016 - 22:08

score 232 · Answer 5 · 2016-01-05 22:21:12

232

Views

calculating a limit of sequence with tan

Published on 05 Jan 2016 - 22:21

score 14.3k · Answer 6 · 2016-01-06 20:29:57

14.3k

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How to solve $\lim _{x\to \infty }\left(\frac{\sqrt{3x+2}}{x\sqrt{x+6}-\sqrt{x^3+2x}}\right)$?

Published on 06 Jan 2016 - 20:29

score 193 · Answer 7 · 2016-01-07 21:38:44

193

Views

How to compute $\lim _{x\to 0}\frac{x\bigl(\sqrt{3e^x+e^{3x^2}}-2\bigr)}{4-(\cos x+1)^2}$?

Published on 07 Jan 2016 - 21:38

score 139 · Answer 8 · 2016-01-08 21:49:54

$\lim _{x\to 0}\left(\frac{\sqrt[2]{\cos \left(x\right)}-\sqrt[3]{\cos \left(x\right)}}{\sin ^2\left(x\right)}\right)$ without L'Hospitals rule?

score 179 · Answer 9 · 2016-01-08 22:17:44

179

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How to solve $\lim _{x\to 0+}\left(\frac{\frac{e^{-\frac{1}{x}}}{x^3} +e^{-\frac{1}{\sqrt{x}}}}{e^{-\frac{1}{x}}lnx}\right)$?

Published on 08 Jan 2016 - 22:17

score 536 · Answer 10 · 2016-01-09 09:34:49

Solve $\lim _{x\to 0}\left(\frac{1-\cos \left(x\right)\sqrt{\cos \left(2x\right)}\cdot \sqrt[3]{\cos \left(3x\right)}}{x^2}\right)$

score 224 · Answer 11 · 2016-01-09 13:27:56

224

Views

How to solve $\lim _{x\to \sqrt{2}}\left(\frac{e^{x^2}+e^2(1-x^2)}{[\ln(x^2-3\sqrt{2}x+5)]^2}\right)$?

Published on 09 Jan 2016 - 13:27

score 829 · Answer 12 · 2016-01-11 06:57:47

829

Views

Trick to solve this limit $\lim_{x \to\infty} \sqrt{x^2+3x}-x$

Published on 11 Jan 2016 - 6:57

score 77 · Answer 13 · 2016-01-15 11:56:27

77

Views

Limit sum problem

Published on 15 Jan 2016 - 11:56

score 2k · Answer 14 · 2016-01-15 14:23:43

2k

Views

Finding the limit inf./inf. form

Published on 15 Jan 2016 - 14:23

score 79 · Answer 15 · 2016-01-15 16:00:50

79

Views

Limit with multiple variables

Published on 15 Jan 2016 - 16:00

List Question

How to solve $\lim\limits_{x \to +\infty} \left(\frac{(\ln(x+1))^x}{(2x)^{x/3}}\right)$?

How can I deduce that $\lim\limits_{x\to0} \frac{\ln(1+x)}x=1$ without Taylor series or L'Hospital's rule?

How to compute $\lim\limits_{x \to +\infty} \left(\frac{x^4+x^5\sin\left(\frac{1}{x}\right)}{x^4\ln\left(\frac{x}{2x+1}\right)-x} \right)$?

on a limit exercise without using l'Hôpital's rule.

calculating a limit of sequence with tan

How to solve $\lim _{x\to \infty }\left(\frac{\sqrt{3x+2}}{x\sqrt{x+6}-\sqrt{x^3+2x}}\right)$?

How to compute $\lim _{x\to 0}\frac{x\bigl(\sqrt{3e^x+e^{3x^2}}-2\bigr)}{4-(\cos x+1)^2}$?

$\lim _{x\to 0}\left(\frac{\sqrt[2]{\cos \left(x\right)}-\sqrt[3]{\cos \left(x\right)}}{\sin ^2\left(x\right)}\right)$ without L'Hospitals rule?

How to solve $\lim _{x\to 0+}\left(\frac{\frac{e^{-\frac{1}{x}}}{x^3} +e^{-\frac{1}{\sqrt{x}}}}{e^{-\frac{1}{x}}lnx}\right)$?

Solve $\lim _{x\to 0}\left(\frac{1-\cos \left(x\right)\sqrt{\cos \left(2x\right)}\cdot \sqrt[3]{\cos \left(3x\right)}}{x^2}\right)$

How to solve $\lim _{x\to \sqrt{2}}\left(\frac{e^{x^2}+e^2(1-x^2)}{[\ln(x^2-3\sqrt{2}x+5)]^2}\right)$?

Trick to solve this limit $\lim_{x \to\infty} \sqrt{x^2+3x}-x$

Limit sum problem

Finding the limit inf./inf. form

Limit with multiple variables

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