Question

Evaluate the following limit without L'Hopital

score 170 · Answer 1 · 2015-03-19 14:50:44

170

Views

Evaluate the following limit without L'Hopital

Published on 19 Mar 2015 - 14:50

score 202 · Answer 2 · 2015-03-21 14:53:23

202

Views

Difficulty in evaluating a limit: $\lim_{x \to \infty} \frac{e^x}{\left(1+\frac{1}{x}\right)^{x^2}}$

Published on 21 Mar 2015 - 14:53

score 541 · Answer 3 · 2015-03-22 04:14:18

541

Views

Finding the limit $\lim_{x\rightarrow \infty} \sqrt[3]{x+1}-\sqrt[3]{x}$

Published on 22 Mar 2015 - 4:14

score 360 · Answer 4 · 2015-03-23 06:01:14

360

Views

Show limit of function $\frac{xy(x+y)}{x^2-xy+y^2}$ for $(x,y)\to(0,0)$

Published on 23 Mar 2015 - 6:01

score 275 · Answer 5 · 2015-03-23 18:06:36

275

Views

Calculate $\lim\limits_{x\to\infty}\left(\frac{x-2}{x+2}\right)^{3x}$

Published on 23 Mar 2015 - 18:06

score 792 · Answer 6 · 2015-03-24 02:33:34

792

Views

Two complicated limits: $\lim_{x\to 0}\frac{e^{ax}-e^{bx}}{\sin(cx)}$ and $\lim_{x\to 0} x(a^{\frac1x}-1)$

Published on 24 Mar 2015 - 2:33

score 1k · Answer 7 · 2015-03-26 07:19:16

1k

Views

Proof of L'Hospital with power series

Published on 26 Mar 2015 - 7:19

score 144 · Answer 8 · 2015-03-27 21:44:47

144

Views

Given that $\lim_{x\to0^+}\frac{1}{x}=\infty$, prove that $\lim_{x\to0}\frac{1}{x^2}=\infty$

Published on 27 Mar 2015 - 21:44

score 127 · Answer 9 · 2015-03-29 09:47:20

127

Views

Calculate $\lim_{x\to 0} \frac{x-\sin x} {1-\cos x}$

Published on 29 Mar 2015 - 9:47

score 31 · Answer 10 · 2015-03-31 10:36:42

31

Views

Clarification on analysis notes

Published on 31 Mar 2015 - 10:36

score 1.1k · Answer 11 · 2015-04-01 10:33:33

1.1k

Views

Finding the limit of $\sqrt[n]{{kn \choose n}}$

Published on 01 Apr 2015 - 10:33

score 68 · Answer 12 · 2015-04-01 13:56:01

68

Views

limit concept doubts

Published on 01 Apr 2015 - 13:56

score 195 · Answer 13 · 2015-04-01 14:22:24

195

Views

How to solve a limit like this? $\lim_{x\to\infty} \left( 2^{\large\sin\left(\tfrac{x^2+5}{x+5}\right)}-2^{\large\sin(x-5)} \right)=0$

Published on 01 Apr 2015 - 14:22

score 61 · Answer 14 · 2015-04-03 09:53:07

61

Views

Calculate limit of $e^{-2x}/x$ as $x \rightarrow -\infty$

Published on 03 Apr 2015 - 9:53

score 630 · Answer 15 · 2015-04-03 11:03:29

630

Views

limit of $\frac{xy-2y}{x^2+y^2-4x+4}$ as $(x,y)$ tends to $(2,0)$

Published on 03 Apr 2015 - 11:03

List Question

Evaluate the following limit without L'Hopital

Difficulty in evaluating a limit: $\lim_{x \to \infty} \frac{e^x}{\left(1+\frac{1}{x}\right)^{x^2}}$

Finding the limit $\lim_{x\rightarrow \infty} \sqrt[3]{x+1}-\sqrt[3]{x}$

Show limit of function $\frac{xy(x+y)}{x^2-xy+y^2}$ for $(x,y)\to(0,0)$

Calculate $\lim\limits_{x\to\infty}\left(\frac{x-2}{x+2}\right)^{3x}$

Two complicated limits: $\lim_{x\to 0}\frac{e^{ax}-e^{bx}}{\sin(cx)}$ and $\lim_{x\to 0} x(a^{\frac1x}-1)$

Proof of L'Hospital with power series

Given that $\lim_{x\to0^+}\frac{1}{x}=\infty$, prove that $\lim_{x\to0}\frac{1}{x^2}=\infty$

Calculate $\lim_{x\to 0} \frac{x-\sin x} {1-\cos x}$

Clarification on analysis notes

Finding the limit of $\sqrt[n]{{kn \choose n}}$

limit concept doubts

How to solve a limit like this? $\lim_{x\to\infty} \left( 2^{\large\sin\left(\tfrac{x^2+5}{x+5}\right)}-2^{\large\sin(x-5)} \right)=0$

Calculate limit of $e^{-2x}/x$ as $x \rightarrow -\infty$

limit of $\frac{xy-2y}{x^2+y^2-4x+4}$ as $(x,y)$ tends to $(2,0)$

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