Question

Computing $\lim_{x\to 0^+} x \log(x)$ using Taylor or asymptotic expansions

score 158 · Answer 1 · 2022-09-09 10:54:55

158

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Computing $\lim_{x\to 0^+} x \log(x)$ using Taylor or asymptotic expansions

Published on 09 Sep 2022 - 10:54

score 87 · Answer 2 · 2022-09-11 15:07:52

87

Views

Finding $ \lim_{x \to 1} \frac{\tan \pi x}{1-x} $ without L’Hôpital

Published on 11 Sep 2022 - 15:07

score 73 · Answer 3 · 2022-09-14 05:34:11

73

Views

Find $lim_{x \to \pi} {\frac{\sin(x)}{e^{\pi}-e^x}}$ using series expansion

Published on 14 Sep 2022 - 5:34

score 68 · Answer 4 · 2022-09-17 01:43:08

68

Views

Evaluate this limit without LHopital

Published on 17 Sep 2022 - 1:43

score 129 · Answer 5 · 2026-02-25 22:09:11

129

Views

Evaluating ${\int_{0}^{1}\sqrt{1+\frac{1}{3x}}\text{ d}x}$ using $\int f^{-1}(x)dx=x f^{-1}(x)-F(f^{-1}(x))+C$

Published on 25 Feb 2026 - 22:09

score 142 · Answer 6 · 2026-04-11 09:37:16

142

Views

Finding the limit in terms of a without using L'Hospitals

Published on 11 Apr 2026 - 9:37

score 135 · Answer 7 · 2022-09-29 14:42:06

135

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Prove convergence of recursive sequence $a_{n+2} =(\frac 12)(a_{n+1}+a_n)$

Published on 29 Sep 2022 - 14:42

score 32 · Answer 8 · 2026-04-10 00:19:38

32

Views

How to properly utilize the definition of e for a specific limit

Published on 10 Apr 2026 - 0:19

score 92 · Answer 9 · 2022-09-30 23:04:47

92

Views

Find $\lim \limits_{x\to 0} \frac{\sin({\pi \sqrt{\cos x})}}{x} $

Published on 30 Sep 2022 - 23:04

score 100 · Answer 10 · 2026-04-11 01:34:46

100

Views

Limit with Arithmetico-geometric sequence

Published on 11 Apr 2026 - 1:34

score 189 · Answer 11 · 2022-10-05 16:33:54

189

Views

Evaluating $\lim\limits_{x \to 0} \frac{\cos\left(\sin^2 x\right)-1}{\sin x}$ without l'Hôpital

Published on 05 Oct 2022 - 16:33

score 181 · Answer 12 · 2022-10-06 04:14:38

181

Views

How to solve $\lim\limits_{x\to 1} \frac{1-\cos(\sin(x^3-1))}{x^3-1}$ without L'Hospital's Rule?

Published on 06 Oct 2022 - 4:14

score 30 · Answer 13 · 2026-04-08 05:48:41

30

Views

Help understanding limit with subtraction

Published on 08 Apr 2026 - 5:48

score 56 · Answer 14 · 2022-10-10 18:33:33

56

Views

Limit of the series $a_n = ne^{-n}$ as $n$ goes to infinity

Published on 10 Oct 2022 - 18:33

score 101 · Answer 15 · 2022-10-11 05:49:59

101

Views

Evaluating $\lim_{x\to0}{{\left(\frac{\tan{(1+\tan x)}}{\tan{(1+\sin x)}}\right)}^{1/x^3}}$

Published on 11 Oct 2022 - 5:49

List Question

Computing $\lim_{x\to 0^+} x \log(x)$ using Taylor or asymptotic expansions

Finding $ \lim_{x \to 1} \frac{\tan \pi x}{1-x} $ without L’Hôpital

Find $lim_{x \to \pi} {\frac{\sin(x)}{e^{\pi}-e^x}}$ using series expansion

Evaluate this limit without LHopital

Evaluating ${\int_{0}^{1}\sqrt{1+\frac{1}{3x}}\text{ d}x}$ using $\int f^{-1}(x)dx=x f^{-1}(x)-F(f^{-1}(x))+C$

Finding the limit in terms of a without using L'Hospitals

Prove convergence of recursive sequence $a_{n+2} =(\frac 12)(a_{n+1}+a_n)$

How to properly utilize the definition of e for a specific limit

Find $\lim \limits_{x\to 0} \frac{\sin({\pi \sqrt{\cos x})}}{x} $

Limit with Arithmetico-geometric sequence

Evaluating $\lim\limits_{x \to 0} \frac{\cos\left(\sin^2 x\right)-1}{\sin x}$ without l'Hôpital

How to solve $\lim\limits_{x\to 1} \frac{1-\cos(\sin(x^3-1))}{x^3-1}$ without L'Hospital's Rule?

Help understanding limit with subtraction

Limit of the series $a_n = ne^{-n}$ as $n$ goes to infinity

Evaluating $\lim_{x\to0}{{\left(\frac{\tan{(1+\tan x)}}{\tan{(1+\sin x)}}\right)}^{1/x^3}}$

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