Question

Trigonometric Limit: $\lim_{x\to 0} \frac{\sqrt {\cos x} - \sqrt[3] {\cos x}}{\sin^2x}$

score 3.2k · Answer 1 · 2014-11-10 00:55:53

3.2k

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Trigonometric Limit: $\lim_{x\to 0} \frac{\sqrt {\cos x} - \sqrt[3] {\cos x}}{\sin^2x}$

Published on 10 Nov 2014 - 0:55

score 93 · Answer 2 · 2014-11-12 11:14:58

93

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Minimizing denominator when calculating limit of function

Published on 12 Nov 2014 - 11:14

score 127 · Answer 3 · 2014-11-12 17:52:08

127

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Computing $\lim_{x\to+\infty}\frac{(x^{3/2}-2x+1)^{2/3}-x}{\sqrt{x+1}} $

Published on 12 Nov 2014 - 17:52

score 171 · Answer 4 · 2014-11-13 19:19:29

171

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How do I show that $\lim_{x\rightarrow\pm\infty}\frac{\ln(x^2+1)}{x} = 0$ without L'Hôspital's rule?

Published on 13 Nov 2014 - 19:19

score 92 · Answer 5 · 2014-11-13 22:38:23

92

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Need help with this limit expression: $\lim_{x\rightarrow\pm\infty}\left(e^{x/(x+1)}(1-x)+e\cdot x\right)$

Published on 13 Nov 2014 - 22:38

score 344 · Answer 6 · 2014-11-14 08:45:54

344

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Finding limit without using L'Hopital rule

Published on 14 Nov 2014 - 8:45

score 1.8k · Answer 7 · 2014-11-15 16:54:56

1.8k

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Calculate limit without L'Hopital

Published on 15 Nov 2014 - 16:54

score 52 · Answer 8 · 2014-11-17 13:45:19

52

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Finding the limit of trigonometric function

Published on 17 Nov 2014 - 13:45

score 210 · Answer 9 · 2014-11-18 12:37:34

210

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Evaluate $\lim _{x\to \infty }\left(\sqrt{4x^2+x}-\sqrt{4x^2-1}\right)$

Published on 18 Nov 2014 - 12:37

score 97 · Answer 10 · 2014-11-19 17:23:40

97

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Evaluate $\lim_{n\to\infty}({n^5-2n+7})^{\frac{1}{n}}$

Published on 19 Nov 2014 - 17:23

score 77 · Answer 11 · 2014-11-20 17:14:48

77

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Is this limit finite?

Published on 20 Nov 2014 - 17:14

score 217 · Answer 12 · 2014-11-22 16:15:59

217

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How to prove that $\lim_{n\to\infty}{|\sin n|}$ doesn't exist

Published on 22 Nov 2014 - 16:15

score 121 · Answer 13 · 2014-11-24 00:19:43

121

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Find the limit $\lim_{x\to 0^-}| \left( 1+x^{3} \right)^{1/2}-1-x^{5} |/(\sin x-x)$

Published on 24 Nov 2014 - 0:19

score 8.5k · Answer 14 · 2014-11-25 09:46:46

8.5k

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prove the limit of $k^{1/k}$ is $1$

Published on 25 Nov 2014 - 9:46

score 148 · Answer 15 · 2014-11-25 19:53:31

148

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without using l'hopital rule

Published on 25 Nov 2014 - 19:53

List Question

Trigonometric Limit: $\lim_{x\to 0} \frac{\sqrt {\cos x} - \sqrt[3] {\cos x}}{\sin^2x}$

Minimizing denominator when calculating limit of function

Computing $\lim_{x\to+\infty}\frac{(x^{3/2}-2x+1)^{2/3}-x}{\sqrt{x+1}} $

How do I show that $\lim_{x\rightarrow\pm\infty}\frac{\ln(x^2+1)}{x} = 0$ without L'Hôspital's rule?

Need help with this limit expression: $\lim_{x\rightarrow\pm\infty}\left(e^{x/(x+1)}(1-x)+e\cdot x\right)$

Finding limit without using L'Hopital rule

Calculate limit without L'Hopital

Finding the limit of trigonometric function

Evaluate $\lim _{x\to \infty }\left(\sqrt{4x^2+x}-\sqrt{4x^2-1}\right)$

Evaluate $\lim_{n\to\infty}({n^5-2n+7})^{\frac{1}{n}}$

Is this limit finite?

How to prove that $\lim_{n\to\infty}{|\sin n|}$ doesn't exist

Find the limit $\lim_{x\to 0^-}| \left( 1+x^{3} \right)^{1/2}-1-x^{5} |/(\sin x-x)$

prove the limit of $k^{1/k}$ is $1$

without using l'hopital rule

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