Question

Limit of $\frac{\sin(x+y)}{x+y}$ as (x,y)→(0,0)

score 301 · Answer 1 · 2015-05-10 04:59:34

301

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Limit of $\frac{\sin(x+y)}{x+y}$ as (x,y)→(0,0)

Published on 10 May 2015 - 4:59

score 467 · Answer 2 · 2015-05-11 22:15:45

467

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Solve $\lim \limits_{x \to 0} (\frac{\sin x}{x})^\frac{1}{1-\cos x}$ without L'Hospital's Rule or Taylor expansion.

Published on 11 May 2015 - 22:15

score 1.1k · Answer 3 · 2015-05-17 18:20:12

1.1k

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Solve these two limits $\lim_{x\to 1} \left(\frac{1}{x-1}-\frac{2}{x^2-1}\right)$ and $\lim_{x\to 0}\left(\frac{1}{x}-\frac{2}{|x|}\right)$

Published on 17 May 2015 - 18:20

score 11.2k · Answer 4 · 2015-05-17 18:28:55

11.2k

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What's wrong with l'Hopital's rule?

Published on 17 May 2015 - 18:28

score 271 · Answer 5 · 2015-05-18 13:09:46

271

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Evaluate $\lim_{x \to 0} \frac{\sin(x³)}{x}$ without L'hopital rule

Published on 18 May 2015 - 13:09

score 593 · Answer 6 · 2015-05-20 10:55:52

593

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Evaluating the $\lim_{x\to0}\frac{4^x-1}{8^x-1}$ without L'Hopital Rule

Published on 20 May 2015 - 10:55

score 95 · Answer 7 · 2026-03-26 04:36:45

95

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the roots & the limit of $2^{x^{\cos(x)}}\sqrt{\cos(x)}=2^{x}$

Published on 26 Mar 2026 - 4:36

score 101 · Answer 8 · 2015-05-21 07:44:46

101

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Need help with taylor series.

Published on 21 May 2015 - 7:44

score 100 · Answer 9 · 2015-05-23 14:29:12

100

Views

How to compute $\lim_{x \to 1} \frac{\sin^a{\pi x}}{(1-x)^a} , a \in \Re$

Published on 23 May 2015 - 14:29

score 104 · Answer 10 · 2015-05-23 17:04:08

104

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How to prove $\lim_{x \to \infty}\frac{\log(x)}{x}=0$?

Published on 23 May 2015 - 17:04

score 373 · Answer 11 · 2015-05-25 22:48:07

373

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Calculate $\lim_{x \to 0} \frac{e^{3x} - 1}{e^{4x} - 1}$

Published on 25 May 2015 - 22:48

score 60 · Answer 12 · 2015-05-27 13:56:25

60

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How do we show that limit $\frac{x^6-x^2\sin(\frac{1}{x^2})}{x^4}$ as $x$ tends to $0$ does not exist?

Published on 27 May 2015 - 13:56

score 293 · Answer 13 · 2015-05-28 11:04:02

293

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How to find $\frac{0}{0}$ limit without L'Hôpital's rule

Published on 28 May 2015 - 11:04

score 44 · Answer 14 · 2015-06-01 22:42:11

44

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Prove this limit - exponentials

Published on 01 Jun 2015 - 22:42

score 140 · Answer 15 · 2015-06-04 19:42:22

140

Views

Evaluate $\lim\limits_{x\to\ 1}\frac{x+x^2+\cdots+x^n-n}{x-1}$ without L'Hospital's rule

Published on 04 Jun 2015 - 19:42

List Question

Limit of $\frac{\sin(x+y)}{x+y}$ as (x,y)→(0,0)

Solve $\lim \limits_{x \to 0} (\frac{\sin x}{x})^\frac{1}{1-\cos x}$ without L'Hospital's Rule or Taylor expansion.

Solve these two limits $\lim_{x\to 1} \left(\frac{1}{x-1}-\frac{2}{x^2-1}\right)$ and $\lim_{x\to 0}\left(\frac{1}{x}-\frac{2}{|x|}\right)$

What's wrong with l'Hopital's rule?

Evaluate $\lim_{x \to 0} \frac{\sin(x³)}{x}$ without L'hopital rule

Evaluating the $\lim_{x\to0}\frac{4^x-1}{8^x-1}$ without L'Hopital Rule

the roots & the limit of $2^{x^{\cos(x)}}\sqrt{\cos(x)}=2^{x}$

Need help with taylor series.

How to compute $\lim_{x \to 1} \frac{\sin^a{\pi x}}{(1-x)^a} , a \in \Re$

How to prove $\lim_{x \to \infty}\frac{\log(x)}{x}=0$?

Calculate $\lim_{x \to 0} \frac{e^{3x} - 1}{e^{4x} - 1}$

How do we show that limit $\frac{x^6-x^2\sin(\frac{1}{x^2})}{x^4}$ as $x$ tends to $0$ does not exist?

How to find $\frac{0}{0}$ limit without L'Hôpital's rule

Prove this limit - exponentials

Evaluate $\lim\limits_{x\to\ 1}\frac{x+x^2+\cdots+x^n-n}{x-1}$ without L'Hospital's rule

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