Question

Find $\lim_{x \rightarrow \infty}(\frac{x}{x^2+1}\cdot e^{x})$

score 131 · Answer 1 · 2017-02-22 03:16:08

131

Views

Find $\lim_{x \rightarrow \infty}(\frac{x}{x^2+1}\cdot e^{x})$

Published on 22 Feb 2017 - 3:16

score 98 · Answer 2 · 2026-03-31 21:13:23

98

Views

How can we prove $\lim_ \limits{x\to0}(1+x)^{\frac{1}{x}}=e$ without using La Hôpital's Rule?

Published on 31 Mar 2026 - 21:13

score 1.8k · Answer 3 · 2017-02-23 07:59:03

1.8k

Views

Painfully near solving $\lim\limits_{x \to 0}{\frac{\cosh x - 1}{x^2}}$

Published on 23 Feb 2017 - 7:59

score 72 · Answer 4 · 2017-02-23 09:55:26

72

Views

Limits without L'Hopital, what is the rationale for doing so

Published on 23 Feb 2017 - 9:55

score 139 · Answer 5 · 2017-02-23 18:19:33

139

Views

Find $\lim_{x \rightarrow - \infty}(x^9e^{2x})$ without using L'Hopital's rule

Published on 23 Feb 2017 - 18:19

score 65 · Answer 6 · 2017-02-23 19:36:19

65

Views

Solve $\lim_{x \rightarrow 0^+}(e^{\frac{1}{x}}x^2)$ without using L'Hopital's rule

Published on 23 Feb 2017 - 19:36

score 182 · Answer 7 · 2017-02-23 23:19:05

182

Views

Find the limit $\lim_{ x \to \pi }\frac{5e^{\sin 2x}-\frac{\sin 5x}{\pi-x}}{\ln(1+\tan x)}$

Published on 23 Feb 2017 - 23:19

score 105 · Answer 8 · 2017-02-24 13:46:41

105

Views

Find the limit : $\lim_{ x \to 1}\frac{\sqrt[n]{x^n-1}}{\sqrt[n]{nx}-\sqrt[n]{n}-\sqrt[n]{nx-n}}$

Published on 24 Feb 2017 - 13:46

score 84 · Answer 9 · 2017-02-24 15:40:12

84

Views

Solve $\lim_{x \rightarrow 3} \frac{2x-e^{x-3}-5}{3-x}$ without using L'Hopital's rule

Published on 24 Feb 2017 - 15:40

score 94 · Answer 10 · 2017-02-24 16:21:36

94

Views

solve the following for limit tending to infinity (without the use of L'Hospital's Rule)

Published on 24 Feb 2017 - 16:21

score 224 · Answer 11 · 2017-02-24 18:56:34

224

Views

Solve $\lim_{x \rightarrow e} \frac{e-x}{\ln x -1}$ without using L'Hopital's rule

Published on 24 Feb 2017 - 18:56

score 4k · Answer 12 · 2017-02-24 22:19:32

4k

Views

Solve $\lim_{x \rightarrow 5} \frac{e^{x-5}-1}{x-\sqrt{4x+5}}$ without using L'Hopital's rule

Published on 24 Feb 2017 - 22:19

score 115 · Answer 13 · 2017-02-25 00:24:46

115

Views

Solve $\lim_{x \rightarrow 2} \frac{xe^{x-1}-2e}{x-2}$ without using L'Hopital's rule

Published on 25 Feb 2017 - 0:24

score 83 · Answer 14 · 2017-02-25 09:15:21

83

Views

$\lim_{ x \to 0 }\left( \frac{\sin 3x}{x^3}+\frac{a}{x^2}+b \right)=0$

Published on 25 Feb 2017 - 9:15

score 258 · Answer 15 · 2017-02-25 11:06:11

258

Views

Evaluate $\lim_{t\to0}\frac{-(t-2)(\sin t +1)-(t+2)\cos t}{(\sin t + \cos t - 1)t^2}$ without L'hopital

Published on 25 Feb 2017 - 11:06

List Question

Find $\lim_{x \rightarrow \infty}(\frac{x}{x^2+1}\cdot e^{x})$

How can we prove $\lim_ \limits{x\to0}(1+x)^{\frac{1}{x}}=e$ without using La Hôpital's Rule?

Painfully near solving $\lim\limits_{x \to 0}{\frac{\cosh x - 1}{x^2}}$

Limits without L'Hopital, what is the rationale for doing so

Find $\lim_{x \rightarrow - \infty}(x^9e^{2x})$ without using L'Hopital's rule

Solve $\lim_{x \rightarrow 0^+}(e^{\frac{1}{x}}x^2)$ without using L'Hopital's rule

Find the limit $\lim_{ x \to \pi }\frac{5e^{\sin 2x}-\frac{\sin 5x}{\pi-x}}{\ln(1+\tan x)}$

Find the limit : $\lim_{ x \to 1}\frac{\sqrt[n]{x^n-1}}{\sqrt[n]{nx}-\sqrt[n]{n}-\sqrt[n]{nx-n}}$

Solve $\lim_{x \rightarrow 3} \frac{2x-e^{x-3}-5}{3-x}$ without using L'Hopital's rule

solve the following for limit tending to infinity (without the use of L'Hospital's Rule)

Solve $\lim_{x \rightarrow e} \frac{e-x}{\ln x -1}$ without using L'Hopital's rule

Solve $\lim_{x \rightarrow 5} \frac{e^{x-5}-1}{x-\sqrt{4x+5}}$ without using L'Hopital's rule

Solve $\lim_{x \rightarrow 2} \frac{xe^{x-1}-2e}{x-2}$ without using L'Hopital's rule

$\lim_{ x \to 0 }\left( \frac{\sin 3x}{x^3}+\frac{a}{x^2}+b \right)=0$

Evaluate $\lim_{t\to0}\frac{-(t-2)(\sin t +1)-(t+2)\cos t}{(\sin t + \cos t - 1)t^2}$ without L'hopital

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