Question

How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?

score 230.1k · Answer 1 · 2011-10-23 16:21:03

230.1k

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How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?

Published on 23 Oct 2011 - 16:21

score 3.8k · Answer 2 · 2011-11-07 15:19:42

3.8k

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How can I calculate the limit $\lim_{x\to-2}\frac{\tan (\pi \cdot x)}{(x+2)}$ without l'Hopital?

Published on 07 Nov 2011 - 15:19

score 501 · Answer 3 · 2011-11-07 16:29:04

501

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Finding $\lim_{n \to \infty }\sqrt[n]{b^{2^{-n}}-1}$ without L'hopital

Published on 07 Nov 2011 - 16:29

score 456 · Answer 4 · 2011-12-21 19:45:44

456

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Is there any way to evaluate this limit without applying de l'Hôpital rule nor series expansion?

Published on 21 Dec 2011 - 19:45

score 9.1k · Answer 5 · 2012-04-19 19:16:14

9.1k

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Solving $\lim\limits_{x\to0} \frac{x - \sin(x)}{x^2}$ without L'Hospital's Rule.

Published on 19 Apr 2012 - 19:16

score 1.2k · Answer 6 · 2012-06-11 20:24:05

1.2k

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Limit involving $(\sin x) /x -\cos x $ and $(e^{2x}-1)/(2x)$, without l'Hôpital

Published on 11 Jun 2012 - 20:24

score 1.2k · Answer 7 · 2012-06-13 18:05:36

1.2k

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Evaluation of $\lim\limits_{x\rightarrow0} \frac{\tan(x)-x}{x^3}$

Published on 13 Jun 2012 - 18:05

score 186 · Answer 8 · 2012-06-24 13:54:13

186

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How can I calculate this limit: $\lim\limits_{x\rightarrow 2}\frac{2-\sqrt{2+x}}{2^{\frac{1}{3}}-(4-x)^\frac{1}{3}}$?

Published on 24 Jun 2012 - 13:54

score 679 · Answer 9 · 2012-06-26 11:29:21

679

Views

What is $ \lim_{x\to 1}\frac{\sqrt[n]{x}+\sqrt[n]{x^2}-2}{e^x-e} $ without using L'Hospital?

Published on 26 Jun 2012 - 11:29

score 3.8k · Answer 10 · 2012-06-26 23:56:22

3.8k

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How can I calculate $\lim_{x \to 0} \log(\cos(x))/\log(\cos(3x))$ without l'Hopital?

Published on 26 Jun 2012 - 23:56

score 447 · Answer 11 · 2012-08-15 20:38:32

447

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How to evaluate $\lim\limits_{x \rightarrow +\infty}{e^x (e - (1+\frac{1}{x} )^x)}$ without L'Hospital?

Published on 15 Aug 2012 - 20:38

score 9.1k · Answer 12 · 2012-08-18 16:59:22

9.1k

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How to find $\lim\limits_{x\to0}\frac{e^x-1-x}{x^2}$ without using l'Hopital's rule nor any series expansion?

Published on 18 Aug 2012 - 16:59

score 451 · Answer 13 · 2012-09-05 11:58:37

451

Views

Limit (without series expansion and l'Hôpital's rule)

Published on 05 Sep 2012 - 11:58

score 1.7k · Answer 14 · 2012-09-24 03:07:15

1.7k

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Find the following limit $\lim_{x\to 0}\frac{\sqrt[3]{1+x}-1}{x}$ and $\lim_{x\to 0}\frac{\cos 3x-\cos x}{x^2}$

Published on 24 Sep 2012 - 3:07

score 268 · Answer 15 · 2012-10-10 03:23:14

268

Views

Limit without using l'Hopital

Published on 10 Oct 2012 - 3:23

List Question

How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?

How can I calculate the limit $\lim_{x\to-2}\frac{\tan (\pi \cdot x)}{(x+2)}$ without l'Hopital?

Finding $\lim_{n \to \infty }\sqrt[n]{b^{2^{-n}}-1}$ without L'hopital

Is there any way to evaluate this limit without applying de l'Hôpital rule nor series expansion?

Solving $\lim\limits_{x\to0} \frac{x - \sin(x)}{x^2}$ without L'Hospital's Rule.

Limit involving $(\sin x) /x -\cos x $ and $(e^{2x}-1)/(2x)$, without l'Hôpital

Evaluation of $\lim\limits_{x\rightarrow0} \frac{\tan(x)-x}{x^3}$

How can I calculate this limit: $\lim\limits_{x\rightarrow 2}\frac{2-\sqrt{2+x}}{2^{\frac{1}{3}}-(4-x)^\frac{1}{3}}$?

What is $ \lim_{x\to 1}\frac{\sqrt[n]{x}+\sqrt[n]{x^2}-2}{e^x-e} $ without using L'Hospital?

How can I calculate $\lim_{x \to 0} \log(\cos(x))/\log(\cos(3x))$ without l'Hopital?

How to evaluate $\lim\limits_{x \rightarrow +\infty}{e^x (e - (1+\frac{1}{x} )^x)}$ without L'Hospital?

How to find $\lim\limits_{x\to0}\frac{e^x-1-x}{x^2}$ without using l'Hopital's rule nor any series expansion?

Limit (without series expansion and l'Hôpital's rule)

Find the following limit $\lim_{x\to 0}\frac{\sqrt[3]{1+x}-1}{x}$ and $\lim_{x\to 0}\frac{\cos 3x-\cos x}{x^2}$

Limit without using l'Hopital

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