Question

Find $\lim \limits_{x\to 0}\frac{\log\left(\cos x\right)}{x^2}$ without L'Hopital

score 948 · Answer 1 · 2016-12-31 16:23:13

948

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Find $\lim \limits_{x\to 0}\frac{\log\left(\cos x\right)}{x^2}$ without L'Hopital

Published on 31 Dec 2016 - 16:23

score 146 · Answer 2 · 2017-01-02 17:21:58

146

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Different results with different methods to same limit

Published on 02 Jan 2017 - 17:21

score 81 · Answer 3 · 2017-01-04 11:16:36

81

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Show that a function bounded by $Cx^2$ is differentiable at $x=0$.

Published on 04 Jan 2017 - 11:16

score 160 · Answer 4 · 2017-01-04 22:02:27

160

Views

$e^x$ as a limit proof

Published on 04 Jan 2017 - 22:02

score 83 · Answer 5 · 2017-01-06 05:24:08

83

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without using L hop-ital rule and series expansion , $ \lim_{t\rightarrow 0}\left(t\cot t+t\ln t\right)$

Published on 06 Jan 2017 - 5:24

score 1.2k · Answer 6 · 2017-01-06 09:58:16

1.2k

Views

Calculate the limit without using L'Hopital's Rule: $\lim\limits_{x \to 0} \frac{5x - e^{2x}+1}{3x +3e^{4x}-3}$

Published on 06 Jan 2017 - 9:58

score 47 · Answer 7 · 2017-01-06 11:34:44

47

Views

Prove or disprove existence of this limit

Published on 06 Jan 2017 - 11:34

score 103 · Answer 8 · 2017-01-06 16:13:29

103

Views

Prove that $\lim_{x \to 0} \frac {f(3x)}{\ln(1+4x)} = \frac94$ if $\lim_{x \to 0} \frac {f(x)}{x} = 3$

Published on 06 Jan 2017 - 16:13

score 42 · Answer 9 · 2017-01-06 16:24:29

42

Views

Question about known limit if x is negative?

Published on 06 Jan 2017 - 16:24

score 163 · Answer 10 · 2017-01-08 12:47:31

163

Views

Why $\lim\limits_{a\to 0} \frac{\ln(1+a)}{a}=1$?

Published on 08 Jan 2017 - 12:47

score 63 · Answer 11 · 2017-01-09 12:43:59

63

Views

How to calculate $\lim\limits_{x\to 2} \frac{1}{\sin{\pi x}}$

Published on 09 Jan 2017 - 12:43

score 135 · Answer 12 · 2017-01-09 16:32:31

135

Views

How to calculate $\lim\limits_{x \to 0 } \frac{x}{\sin{\pi(x+2)}}$

Published on 09 Jan 2017 - 16:32

score 1k · Answer 13 · 2017-01-09 17:40:14

1k

Views

limit of $(e^x-1)^{\frac{1}{x}}$ - Without L'hopital

Published on 09 Jan 2017 - 17:40

score 126 · Answer 14 · 2017-01-09 20:07:10

126

Views

Why $\lim\limits_{x \to 3} \frac{3-x}{\ln(4-x)}=1$?

Published on 09 Jan 2017 - 20:07

score 415 · Answer 15 · 2017-01-09 22:12:27

415

Views

find the limit of $\lim\limits_{x\to\infty}(1+x)^{\frac{1}{x}} $

Published on 09 Jan 2017 - 22:12

List Question

Find $\lim \limits_{x\to 0}\frac{\log\left(\cos x\right)}{x^2}$ without L'Hopital

Different results with different methods to same limit

Show that a function bounded by $Cx^2$ is differentiable at $x=0$.

$e^x$ as a limit proof

without using L hop-ital rule and series expansion , $ \lim_{t\rightarrow 0}\left(t\cot t+t\ln t\right)$

Calculate the limit without using L'Hopital's Rule: $\lim\limits_{x \to 0} \frac{5x - e^{2x}+1}{3x +3e^{4x}-3}$

Prove or disprove existence of this limit

Prove that $\lim_{x \to 0} \frac {f(3x)}{\ln(1+4x)} = \frac94$ if $\lim_{x \to 0} \frac {f(x)}{x} = 3$

Question about known limit if x is negative?

Why $\lim\limits_{a\to 0} \frac{\ln(1+a)}{a}=1$?

How to calculate $\lim\limits_{x\to 2} \frac{1}{\sin{\pi x}}$

How to calculate $\lim\limits_{x \to 0 } \frac{x}{\sin{\pi(x+2)}}$

limit of $(e^x-1)^{\frac{1}{x}}$ - Without L'hopital

Why $\lim\limits_{x \to 3} \frac{3-x}{\ln(4-x)}=1$?

find the limit of $\lim\limits_{x\to\infty}(1+x)^{\frac{1}{x}} $

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