Question

How to solve the limit of $\ln(x \sin x)$ as $x$ approaches $0$?

score 969 · Answer 1 · 2018-01-26 02:40:33

969

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How to solve the limit of $\ln(x \sin x)$ as $x$ approaches $0$?

Published on 26 Jan 2018 - 2:40

score 89 · Answer 2 · 2026-03-24 20:33:28

89

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Finding number of real solution of $4^x-2^{2+x}\cos(e^x)+1=0$

Published on 24 Mar 2026 - 20:33

score 558 · Answer 3 · 2026-03-23 10:58:50

558

Views

Solving $x \log(x)$ = $100$.

Published on 23 Mar 2026 - 10:58

score 170 · Answer 4 · 2026-03-20 06:09:53

170

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Closed form of Integral of ellipticK and log using Mellin transform? $\int_{0}^4 K(1-u^2) \log[1+u z] \frac{du}{u}$

Published on 20 Mar 2026 - 6:09

score 210 · Answer 5 · 2018-01-27 15:44:27

210

Views

Find $\lim_{n\rightarrow\infty} \frac{\log(2 + 3^{n})}{2n}$

Published on 27 Jan 2018 - 15:44

score 617 · Answer 6 · 2026-03-26 13:20:15

617

Views

How to convert $\ln x - \ln y$ into a more accurate floating point representation?

Published on 26 Mar 2026 - 13:20

score 73 · Answer 7 · 2026-03-25 01:27:56

73

Views

Asymptotic behavior of zeroes of $\ln(t)-t+n$

Published on 25 Mar 2026 - 1:27

score 653 · Answer 8 · 2026-03-24 23:40:58

653

Views

Holomorphic square root implies logarithm?

Published on 24 Mar 2026 - 23:40

score 146 · Answer 9 · 2026-03-27 03:48:43

146

Views

How and where can I calculate $\left(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots\right)\left(1+\frac{1}{2}-\frac{1}{3}-\frac{1}{4}+\cdots\right)?$

Published on 27 Mar 2026 - 3:48

score 54 · Answer 10 · 2018-01-28 13:28:07

54

Views

check if $\sqrt{x} \cdot \log(x-1)$ is differentiable $\forall x \in (2,4)$

Published on 28 Jan 2018 - 13:28

score 87 · Answer 11 · 2018-01-28 18:25:21

87

Views

Why is $\int_{-\infty}^{\infty}\left\lvert\log\frac{a^2+x^2}{b^2+x^2}\right\rvert dx=2\pi(b-a)$?

Published on 28 Jan 2018 - 18:25

score 51 · Answer 12 · 2026-03-24 19:01:24

51

Views

how do I manipulate natural logs in my integration

Published on 24 Mar 2026 - 19:01

score 398 · Answer 13 · 2026-03-24 23:46:14

398

Views

Integration by Parts - $\int \frac{x}{(x+1)^2} dx$

Published on 24 Mar 2026 - 23:46

score 204 · Answer 14 · 2026-03-17 02:43:46

204

Views

How are $x$ and $\ln(\ln(x))$ related?

Published on 17 Mar 2026 - 2:43

score 455 · Answer 15 · 2026-03-25 12:00:53

455

Views

Prove $\lim\limits_{n \to \infty} \frac{\log (n!)}{n \sqrt[n]{\log 2 \cdot \log 3 \cdots \log n}}=1$

Published on 25 Mar 2026 - 12:00

List Question

How to solve the limit of $\ln(x \sin x)$ as $x$ approaches $0$?

Finding number of real solution of $4^x-2^{2+x}\cos(e^x)+1=0$

Solving $x \log(x)$ = $100$.

Closed form of Integral of ellipticK and log using Mellin transform? $\int_{0}^4 K(1-u^2) \log[1+u z] \frac{du}{u}$

Find $\lim_{n\rightarrow\infty} \frac{\log(2 + 3^{n})}{2n}$

How to convert $\ln x - \ln y$ into a more accurate floating point representation?

Asymptotic behavior of zeroes of $\ln(t)-t+n$

Holomorphic square root implies logarithm?

How and where can I calculate $\left(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots\right)\left(1+\frac{1}{2}-\frac{1}{3}-\frac{1}{4}+\cdots\right)?$

check if $\sqrt{x} \cdot \log(x-1)$ is differentiable $\forall x \in (2,4)$

Why is $\int_{-\infty}^{\infty}\left\lvert\log\frac{a^2+x^2}{b^2+x^2}\right\rvert dx=2\pi(b-a)$?

how do I manipulate natural logs in my integration

Integration by Parts - $\int \frac{x}{(x+1)^2} dx$

How are $x$ and $\ln(\ln(x))$ related?

Prove $\lim\limits_{n \to \infty} \frac{\log (n!)}{n \sqrt[n]{\log 2 \cdot \log 3 \cdots \log n}}=1$

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