Question

l'Hospital's rule vs limit definition of the derivative

score 521 · Answer 1 · 2020-10-24 08:36:18

521

Views

l'Hospital's rule vs limit definition of the derivative

Published on 24 Oct 2020 - 8:36

score 85 · Answer 2 · 2020-10-24 08:43:32

85

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Converegence of $x_n = (\sqrt{n^2 + \sqrt{n}} -n)(\sqrt{n+1} + \sqrt{2n})$

Published on 24 Oct 2020 - 8:43

score 153 · Answer 3 · 2020-10-25 22:09:41

153

Views

Evaluate the limit $\lim_{x\rightarrow \infty}\sqrt[]{n^3}(\sqrt{n+1}+\sqrt{n+2}-\sqrt{n}-\sqrt{n+3})$

Published on 25 Oct 2020 - 22:09

score 36 · Answer 4 · 2020-10-25 22:39:28

36

Views

How to find first derivative by limit definition of $y=\cot(f(x))$ if $f(x)$ is differentiable?

Published on 25 Oct 2020 - 22:39

score 79 · Answer 5 · 2020-10-26 22:39:24

79

Views

$\frac{1}{t}e^{F(t)} \to \infty \Rightarrow t F'(t) \to \infty$?

Published on 26 Oct 2020 - 22:39

score 84 · Answer 6 · 2020-10-28 10:26:15

84

Views

Solve $\displaystyle\lim_{x \to 0}{(1 - \sqrt{\cos 4x})\cot^2x}$

Published on 28 Oct 2020 - 10:26

score 90 · Answer 7 · 2020-10-29 12:19:45

90

Views

Is it possible to evaluate $\lim_{x\to\infty}\frac{\ln(x+e^x+e^{2x})}{x}$ without applying L'Hopital rule?

Published on 29 Oct 2020 - 12:19

score 283 · Answer 8 · 2020-10-30 07:15:46

283

Views

Why does Excel fail to properly evaluate $ \lim_{x \to 0} \frac{x(e^x+1)-2(e^x-1)}{x^3} $?

Published on 30 Oct 2020 - 7:15

score 38 · Answer 9 · 2020-10-30 19:42:07

38

Views

Problem calculating a limit

Published on 30 Oct 2020 - 19:42

score 76 · Answer 10 · 2020-10-31 00:33:29

76

Views

Understanding Limit without l'Hopital

Published on 31 Oct 2020 - 0:33

score 141 · Answer 11 · 2020-11-01 17:13:14

141

Views

On the limit $\lim \limits_{x \rightarrow +\infty} \left( e^{\sqrt{x+2}} + e^{\sqrt{x-2}} - 2 e^{\sqrt{x}} \right)$

Published on 01 Nov 2020 - 17:13

score 69 · Answer 12 · 2020-11-05 01:46:51

69

Views

$\lim_{n\to\infty}\sqrt{n^3}(\sqrt{n+1}+\sqrt{n-1}-2\sqrt{n})$

Published on 05 Nov 2020 - 1:46

score 304 · Answer 13 · 2020-11-05 15:48:39

304

Views

$\lim_n nr^n$ if $|r| < 1$

Published on 05 Nov 2020 - 15:48

score 105 · Answer 14 · 2020-11-05 21:55:11

105

Views

Find the limit of the function without L'Hôpital's rule

Published on 05 Nov 2020 - 21:55

score 198 · Answer 15 · 2020-11-06 21:02:16

198

Views

Is this approach to the limit solution kosher?$ \lim_{n\rightarrow\infty}\frac{(n!)^{\tfrac{1}{n}}}{n}=\frac{1}{e}$

Published on 06 Nov 2020 - 21:02

List Question

l'Hospital's rule vs limit definition of the derivative

Converegence of $x_n = (\sqrt{n^2 + \sqrt{n}} -n)(\sqrt{n+1} + \sqrt{2n})$

Evaluate the limit $\lim_{x\rightarrow \infty}\sqrt[]{n^3}(\sqrt{n+1}+\sqrt{n+2}-\sqrt{n}-\sqrt{n+3})$

How to find first derivative by limit definition of $y=\cot(f(x))$ if $f(x)$ is differentiable?

$\frac{1}{t}e^{F(t)} \to \infty \Rightarrow t F'(t) \to \infty$?

Solve $\displaystyle\lim_{x \to 0}{(1 - \sqrt{\cos 4x})\cot^2x}$

Is it possible to evaluate $\lim_{x\to\infty}\frac{\ln(x+e^x+e^{2x})}{x}$ without applying L'Hopital rule?

Why does Excel fail to properly evaluate $ \lim_{x \to 0} \frac{x(e^x+1)-2(e^x-1)}{x^3} $?

Problem calculating a limit

Understanding Limit without l'Hopital

On the limit $\lim \limits_{x \rightarrow +\infty} \left( e^{\sqrt{x+2}} + e^{\sqrt{x-2}} - 2 e^{\sqrt{x}} \right)$

$\lim_{n\to\infty}\sqrt{n^3}(\sqrt{n+1}+\sqrt{n-1}-2\sqrt{n})$

$\lim_n nr^n$ if $|r| < 1$

Find the limit of the function without L'Hôpital's rule

Is this approach to the limit solution kosher?$ \lim_{n\rightarrow\infty}\frac{(n!)^{\tfrac{1}{n}}}{n}=\frac{1}{e}$

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