Question

Evaluating a Rather Complicated Limit with a Simple Solution: $\lim_{x \to 0} {\cos(3x)-\cos(x) \over x^2}$

score 137 · Answer 1 · 2016-09-27 16:02:52

137

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Evaluating a Rather Complicated Limit with a Simple Solution: $\lim_{x \to 0} {\cos(3x)-\cos(x) \over x^2}$

Published on 27 Sep 2016 - 16:02

score 32 · Answer 2 · 2016-09-27 16:54:07

32

Views

Harnessing the Implications of Given Conditions when Evaluating Limits

Published on 27 Sep 2016 - 16:54

score 270 · Answer 3 · 2016-09-27 16:55:50

270

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Proving $\lim \frac{x^n-a^n}{x-a}=n\cdot a^{n-1}$

Published on 27 Sep 2016 - 16:55

score 1.7k · Answer 4 · 2016-09-28 12:09:45

1.7k

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How to find the limit, without L'Hôpital's rule, of a function with exponentials?

Published on 28 Sep 2016 - 12:09

score 26 · Answer 5 · 2016-09-28 15:08:44

26

Views

Piece-wise Function with Variable

Published on 28 Sep 2016 - 15:08

score 133 · Answer 6 · 2016-09-29 20:04:02

133

Views

$\lim\limits_{x \to 1+} \frac{x-\sqrt{\arctan(x)-\frac{\pi}{4}}-1}{x-1}$

Published on 29 Sep 2016 - 20:04

score 1k · Answer 7 · 2016-09-30 03:20:35

1k

Views

Applying exponential of a logarithm to solve limits

Published on 30 Sep 2016 - 3:20

score 158 · Answer 8 · 2016-09-30 09:24:13

158

Views

How can I find $\displaystyle \lim_{n\to\infty} \sqrt{1 + {1 \over n}}$ using basic properties of limits?

Published on 30 Sep 2016 - 9:24

score 314 · Answer 9 · 2016-10-01 14:41:47

314

Views

Limit involving exponentials and arctangent without L'Hôpital

Published on 01 Oct 2016 - 14:41

score 100 · Answer 10 · 2016-10-02 11:38:03

100

Views

Calculate this limit : $\lim_{x \rightarrow -\infty} -x-\sqrt[3]{-x^3-x}$

Published on 02 Oct 2016 - 11:38

score 217 · Answer 11 · 2016-10-02 11:41:51

217

Views

How to compute $\lim_{x\to 0^+}\frac{\arctan x-x}{x^2}$ without Taylor's formula or L'Hôpital's rule?

Published on 02 Oct 2016 - 11:41

score 59 · Answer 12 · 2016-10-02 13:22:05

59

Views

Calculate $\lim_{x\to 0^+}\frac{\frac{4}{\pi}\arctan(\frac{\arctan x}{x})-1}{x}$ without Taylor's theorem or L'Hospital rule

Published on 02 Oct 2016 - 13:22

score 57 · Answer 13 · 2016-10-02 23:13:00

57

Views

U-Substitution, and $\frac{\sin(u)}{u}$

Published on 02 Oct 2016 - 23:13

score 428 · Answer 14 · 2016-10-03 00:04:34

428

Views

Speed of light, and limits

Published on 03 Oct 2016 - 0:04

score 83 · Answer 15 · 2016-10-04 17:42:16

83

Views

Calculating This Limit Question w/o L'Hospital

Published on 04 Oct 2016 - 17:42

List Question

Evaluating a Rather Complicated Limit with a Simple Solution: $\lim_{x \to 0} {\cos(3x)-\cos(x) \over x^2}$

Harnessing the Implications of Given Conditions when Evaluating Limits

Proving $\lim \frac{x^n-a^n}{x-a}=n\cdot a^{n-1}$

How to find the limit, without L'Hôpital's rule, of a function with exponentials?

Piece-wise Function with Variable

$\lim\limits_{x \to 1+} \frac{x-\sqrt{\arctan(x)-\frac{\pi}{4}}-1}{x-1}$

Applying exponential of a logarithm to solve limits

How can I find $\displaystyle \lim_{n\to\infty} \sqrt{1 + {1 \over n}}$ using basic properties of limits?

Limit involving exponentials and arctangent without L'Hôpital

Calculate this limit : $\lim_{x \rightarrow -\infty} -x-\sqrt[3]{-x^3-x}$

How to compute $\lim_{x\to 0^+}\frac{\arctan x-x}{x^2}$ without Taylor's formula or L'Hôpital's rule?

Calculate $\lim_{x\to 0^+}\frac{\frac{4}{\pi}\arctan(\frac{\arctan x}{x})-1}{x}$ without Taylor's theorem or L'Hospital rule

U-Substitution, and $\frac{\sin(u)}{u}$

Speed of light, and limits

Calculating This Limit Question w/o L'Hospital

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