Question

Limit of $\frac{\log(e+x)-1}{x}$ as $x\to 0$ without using L'Hopital

score 84 · Answer 1 · 2022-01-25 20:09:05

84

Views

Limit of $\frac{\log(e+x)-1}{x}$ as $x\to 0$ without using L'Hopital

Published on 25 Jan 2022 - 20:09

score 204 · Answer 2 · 2022-01-26 17:34:52

204

Views

$\lim _{x\to -\infty }\left(xe^x\right)$ without the use of L'Hospital's rule

Published on 26 Jan 2022 - 17:34

score 166 · Answer 3 · 2022-01-26 18:45:14

166

Views

Solving limit $\lim_{x\to0}\frac{\sqrt{1-\cos(2x)}}{x}$, without using L'Hospital's rule

Published on 26 Jan 2022 - 18:45

score 1.1k · Answer 4 · 2022-01-26 19:34:36

1.1k

Views

Solving $\lim_{x\to0}\frac{\cos\left(\frac{\pi}{2\cos(x)}\right)}{\sin(\sin(x^2))}$

Published on 26 Jan 2022 - 19:34

score 82 · Answer 5 · 2026-04-09 03:36:02

82

Views

How to solve this without L'Hopital's Rule?

Published on 09 Apr 2026 - 3:36

score 84 · Answer 6 · 2022-01-27 14:10:45

84

Views

Solve $\lim _{x\to 0} \frac{e^x-\ln\left(1+x\right)-1}{x^2}$ without L’Hospital’s rule

Published on 27 Jan 2022 - 14:10

score 167 · Answer 7 · 2022-01-27 20:13:52

167

Views

Evaluation of limit $\lim_{x\to0}\frac{e^x + e^{-x} -2}{x^2}$

Published on 27 Jan 2022 - 20:13

score 81 · Answer 8 · 2022-01-31 15:38:25

81

Views

Prove that $\lim_{x \to \infty} \frac{\ln(x)}{x^a} = 0$ for $a>0$

Published on 31 Jan 2022 - 15:38

score 441 · Answer 9 · 2022-02-02 09:42:16

441

Views

Evaluating $\lim_{x\to0}\frac{\ln\left(1+\sin^2(2x)\right)}{1-\cos^2(x)} $

Published on 02 Feb 2022 - 9:42

score 113 · Answer 10 · 2022-02-02 13:45:09

113

Views

$\lim_{x\to\infty} (x+\log x)\cdot \log\biggl(\frac{x^2+3x}{x^2-5x}\biggr)$

Published on 02 Feb 2022 - 13:45

score 90 · Answer 11 · 2022-02-02 18:30:31

90

Views

How do I find the limit of $\lim_{x \to 0}{\frac{1-(\cos{kx})^k}{x^2}}$?

Published on 02 Feb 2022 - 18:30

score 61 · Answer 12 · 2026-04-08 21:22:36

61

Views

Help Finding the limit of the lognormal pdf about $0$

Published on 08 Apr 2026 - 21:22

score 96 · Answer 13 · 2022-02-07 18:21:31

96

Views

Why is $\lim_{x \to \infty} \frac{\ln x}{x^2} = 0$?

Published on 07 Feb 2022 - 18:21

score 21 · Answer 14 · 2022-02-08 23:15:55

21

Views

Can I assert $x<N<0 \implies | \frac{1}{x^{m-n}} | < \epsilon$ from $x<N<0 \implies 0<\frac{1}{x^{m-n}}<\epsilon$ and is information somehow lost?

Published on 08 Feb 2022 - 23:15

score 73 · Answer 15 · 2022-02-09 08:12:06

73

Views

Can the value $\lim \frac{\sin x}{x} = 1$ be used even if $x$ is not approaching $0$?

Published on 09 Feb 2022 - 8:12

List Question

Limit of $\frac{\log(e+x)-1}{x}$ as $x\to 0$ without using L'Hopital

$\lim _{x\to -\infty }\left(xe^x\right)$ without the use of L'Hospital's rule

Solving limit $\lim_{x\to0}\frac{\sqrt{1-\cos(2x)}}{x}$, without using L'Hospital's rule

Solving $\lim_{x\to0}\frac{\cos\left(\frac{\pi}{2\cos(x)}\right)}{\sin(\sin(x^2))}$

How to solve this without L'Hopital's Rule?

Solve $\lim _{x\to 0} \frac{e^x-\ln\left(1+x\right)-1}{x^2}$ without L’Hospital’s rule

Evaluation of limit $\lim_{x\to0}\frac{e^x + e^{-x} -2}{x^2}$

Prove that $\lim_{x \to \infty} \frac{\ln(x)}{x^a} = 0$ for $a>0$

Evaluating $\lim_{x\to0}\frac{\ln\left(1+\sin^2(2x)\right)}{1-\cos^2(x)} $

$\lim_{x\to\infty} (x+\log x)\cdot \log\biggl(\frac{x^2+3x}{x^2-5x}\biggr)$

How do I find the limit of $\lim_{x \to 0}{\frac{1-(\cos{kx})^k}{x^2}}$?

Help Finding the limit of the lognormal pdf about $0$

Why is $\lim_{x \to \infty} \frac{\ln x}{x^2} = 0$?

Can I assert $x<N<0 \implies | \frac{1}{x^{m-n}} | < \epsilon$ from $x<N<0 \implies 0<\frac{1}{x^{m-n}}<\epsilon$ and is information somehow lost?

Can the value $\lim \frac{\sin x}{x} = 1$ be used even if $x$ is not approaching $0$?

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