Question

What is the result of $\lim_{x\to0_+} \frac{e^x - x e^x - 1}{\left(e^x - 1 \right)^2}$ without L'Hôpital's rule.

score 1.9k · Answer 1 · 2017-08-11 13:13:58

1.9k

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What is the result of $\lim_{x\to0_+} \frac{e^x - x e^x - 1}{\left(e^x - 1 \right)^2}$ without L'Hôpital's rule.

Published on 11 Aug 2017 - 13:13

score 189 · Answer 2 · 2017-08-11 14:43:54

189

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Two limits with unknown functions $f,g$

Published on 11 Aug 2017 - 14:43

score 209 · Answer 3 · 2017-08-12 12:43:09

209

Views

How is this limit calculated without l'Hospital?

Published on 12 Aug 2017 - 12:43

score 908 · Answer 4 · 2017-08-14 20:45:40

908

Views

Dividing by zero results negative infinity

Published on 14 Aug 2017 - 20:45

score 263 · Answer 5 · 2017-08-16 15:48:50

263

Views

Calculate $\lim_{x \rightarrow a} \frac{x^2 + ax - 2a^2}{\sqrt{2x^2 - ax} -a}$

Published on 16 Aug 2017 - 15:48

score 617 · Answer 6 · 2017-08-17 19:51:40

617

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Trigonometry limit's proof: $\lim_{x\to0}\frac{\sin(x)+\sin(2x)+\cdots+\sin(kx)}{x}=\frac{k(k+1)}{2}$

Published on 17 Aug 2017 - 19:51

score 147 · Answer 7 · 2017-08-18 12:23:43

147

Views

Solving $\lim_{x\to \infty}(\sqrt[3]{x^3-5x^2+1}-x)$ with series?

Published on 18 Aug 2017 - 12:23

score 103 · Answer 8 · 2017-08-19 09:16:20

103

Views

For which values of $a$ does $\lim\limits _{x\to a}\frac{|x^2-(2+a)x+2a|}{x-a}$ exist?

Published on 19 Aug 2017 - 9:16

score 1.5k · Answer 9 · 2017-08-22 14:51:31

1.5k

Views

$ (1 + x)^{1/x} $ when $ x \to \infty$ without L’Hospital’s Rule

Published on 22 Aug 2017 - 14:51

score 232 · Answer 10 · 2017-08-23 10:38:19

232

Views

Find $\lim_{x \to 0} \frac{\sqrt{1- \cos (2x)}}{\sin(3x)}$

Published on 23 Aug 2017 - 10:38

score 119 · Answer 11 · 2017-08-23 21:19:44

119

Views

Wrong result for a $1^\infty$ limit

Published on 23 Aug 2017 - 21:19

score 564 · Answer 12 · 2017-08-24 11:53:46

564

Views

limits and even-odd functions

Published on 24 Aug 2017 - 11:53

score 269 · Answer 13 · 2017-08-24 15:19:46

269

Views

Number of integral values of n for which limit

Published on 24 Aug 2017 - 15:19

score 249 · Answer 14 · 2017-08-29 10:37:18

249

Views

Limit $\lim_{x\to 0}\frac{\sin\left(\pi\cos^2(x)\right)}{x^2}$

Published on 29 Aug 2017 - 10:37

score 275 · Answer 15 · 2017-08-29 21:04:50

275

Views

Limit at 0 for the following logarithmic function

Published on 29 Aug 2017 - 21:04

List Question

What is the result of $\lim_{x\to0_+} \frac{e^x - x e^x - 1}{\left(e^x - 1 \right)^2}$ without L'Hôpital's rule.

Two limits with unknown functions $f,g$

How is this limit calculated without l'Hospital?

Dividing by zero results negative infinity

Calculate $\lim_{x \rightarrow a} \frac{x^2 + ax - 2a^2}{\sqrt{2x^2 - ax} -a}$

Trigonometry limit's proof: $\lim_{x\to0}\frac{\sin(x)+\sin(2x)+\cdots+\sin(kx)}{x}=\frac{k(k+1)}{2}$

Solving $\lim_{x\to \infty}(\sqrt[3]{x^3-5x^2+1}-x)$ with series?

For which values of $a$ does $\lim\limits _{x\to a}\frac{|x^2-(2+a)x+2a|}{x-a}$ exist?

$ (1 + x)^{1/x} $ when $ x \to \infty$ without L’Hospital’s Rule

Find $\lim_{x \to 0} \frac{\sqrt{1- \cos (2x)}}{\sin(3x)}$

Wrong result for a $1^\infty$ limit

limits and even-odd functions

Number of integral values of n for which limit

Limit $\lim_{x\to 0}\frac{\sin\left(\pi\cos^2(x)\right)}{x^2}$

Limit at 0 for the following logarithmic function

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