Question

Solve the limit $\lim\limits_{x\to 0}\left(\frac {e^x}{x}-\frac {1}{\arctan{x}}\right)$ without using L'Hopital (with my attempts)

score 150 · Answer 1 · 2019-06-29 20:17:24

150

Views

Solve the limit $\lim\limits_{x\to 0}\left(\frac {e^x}{x}-\frac {1}{\arctan{x}}\right)$ without using L'Hopital (with my attempts)

Published on 29 Jun 2019 - 20:17

score 48 · Answer 2 · 2019-06-29 22:48:40

48

Views

Alternating sequence without L'Hopital rule

Published on 29 Jun 2019 - 22:48

score 125 · Answer 3 · 2019-06-29 23:13:37

125

Views

Calculating integral without L'hopital's rule

Published on 29 Jun 2019 - 23:13

score 4.1k · Answer 4 · 2019-06-29 23:35:58

4.1k

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evaluate the limit as $x$ approaches $0$ of $(\cos x-1)/x$ without l'Hopital's rule

Published on 29 Jun 2019 - 23:35

score 60 · Answer 5 · 2019-06-30 19:53:16

60

Views

Limit using theorem of monotone convergence and without L'Hopital rule

Published on 30 Jun 2019 - 19:53

score 126 · Answer 6 · 2019-07-01 00:38:32

126

Views

$\lim_{n\to \infty} \ \frac{1}{n} \Bigl[(a+\frac{1}{n})^2+(a+\frac{2}{n})^2+\cdots+(a+\frac{n-1}{n})^2\Bigr]$ without L'Hopital

Published on 01 Jul 2019 - 0:38

score 111 · Answer 7 · 2019-07-01 00:50:00

111

Views

Evaluating $\lim\limits_{x\to 2} \frac{\sqrt[3]{x} - \sqrt[3]{2}}{x^3 - 8}$ without l'Hospital's rule

Published on 01 Jul 2019 - 0:50

score 78 · Answer 8 · 2019-07-01 00:58:51

78

Views

$\lim_{n\to \infty} \sum_{k=1}^n\frac{5n}{3n^2-2k}$ without L'Hopital rule

Published on 01 Jul 2019 - 0:58

score 51 · Answer 9 · 2019-07-02 09:44:52

51

Views

Is $\lim_\limits{x\to a}{[f(x)]^{g(x)}}=e^{\lim_\limits{x\to a}{[f(x)-1]·[g(x)]}}$?

Published on 02 Jul 2019 - 9:44

score 60 · Answer 10 · 2019-07-03 09:36:36

60

Views

Other methods for a limit

Published on 03 Jul 2019 - 9:36

score 161 · Answer 11 · 2019-07-03 17:16:11

161

Views

How to compute the limit $\lim_{x \to \infty}\left[x\left(1+\frac{1}{x}\right)^x-ex\right]$?

Published on 03 Jul 2019 - 17:16

score 119 · Answer 12 · 2019-07-05 13:55:03

119

Views

find $f'(0)$, while $f(x)=\int_{0}^{x} \sin(t)/t \,dt$

Published on 05 Jul 2019 - 13:55

score 89 · Answer 13 · 2019-07-06 14:26:18

89

Views

Evaluation of exponential limits

Published on 06 Jul 2019 - 14:26

score 1k · Answer 14 · 2019-07-09 23:00:12

1k

Views

prove $\lim\limits_{x \to \infty}(1+ 1/n)^n = e$ without using l'Hospitals rule

Published on 09 Jul 2019 - 23:00

score 113 · Answer 15 · 2019-07-11 21:04:06

113

Views

Evaluate Limit without L'Hospital's Rule and Only the Squeeze Theorem or Simple Limit Work

Published on 11 Jul 2019 - 21:04

List Question

Solve the limit $\lim\limits_{x\to 0}\left(\frac {e^x}{x}-\frac {1}{\arctan{x}}\right)$ without using L'Hopital (with my attempts)

Alternating sequence without L'Hopital rule

Calculating integral without L'hopital's rule

evaluate the limit as $x$ approaches $0$ of $(\cos x-1)/x$ without l'Hopital's rule

Limit using theorem of monotone convergence and without L'Hopital rule

$\lim_{n\to \infty} \ \frac{1}{n} \Bigl[(a+\frac{1}{n})^2+(a+\frac{2}{n})^2+\cdots+(a+\frac{n-1}{n})^2\Bigr]$ without L'Hopital

Evaluating $\lim\limits_{x\to 2} \frac{\sqrt[3]{x} - \sqrt[3]{2}}{x^3 - 8}$ without l'Hospital's rule

$\lim_{n\to \infty} \sum_{k=1}^n\frac{5n}{3n^2-2k}$ without L'Hopital rule

Is $\lim_\limits{x\to a}{[f(x)]^{g(x)}}=e^{\lim_\limits{x\to a}{[f(x)-1]·[g(x)]}}$?

Other methods for a limit

How to compute the limit $\lim_{x \to \infty}\left[x\left(1+\frac{1}{x}\right)^x-ex\right]$?

find $f'(0)$, while $f(x)=\int_{0}^{x} \sin(t)/t \,dt$

Evaluation of exponential limits

prove $\lim\limits_{x \to \infty}(1+ 1/n)^n = e$ without using l'Hospitals rule

Evaluate Limit without L'Hospital's Rule and Only the Squeeze Theorem or Simple Limit Work

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