Question

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

score 972 · Answer 1 · 2026-04-13 11:32:24

972

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

Published on 13 Apr 2026 - 11:32

score 92 · Answer 2 · 2026-05-10 13:50:20

92

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

Published on 10 May 2026 - 13:50

score 566 · Answer 3 · 2026-05-11 04:56:25

566

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

Published on 11 May 2026 - 4:56

score 180 · Answer 4 · 2026-05-12 01:46:45

180

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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 12 May 2026 - 1:46

score 213 · Answer 5 · 2026-04-17 06:26:58

213

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

Published on 17 Apr 2026 - 6:26

score 624 · Answer 6 · 2026-05-11 14:16:35

624

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

Published on 11 May 2026 - 14:16

score 76 · Answer 7 · 2026-05-10 15:09:56

76

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

Published on 10 May 2026 - 15:09

score 656 · Answer 8 · 2026-05-10 12:29:12

656

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Holomorphic square root implies logarithm?

Published on 10 May 2026 - 12:29

score 151 · Answer 9 · 2026-05-03 02:36:30

151

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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 03 May 2026 - 2:36

score 56 · Answer 10 · 2026-04-15 02:30:12

56

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

Published on 15 Apr 2026 - 2:30

score 90 · Answer 11 · 2026-04-16 22:12:01

90

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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 16 Apr 2026 - 22:12

score 56 · Answer 12 · 2026-05-10 16:01:12

56

Views

how do I manipulate natural logs in my integration

Published on 10 May 2026 - 16:01

score 401 · Answer 13 · 2026-05-10 14:56:53

401

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

Published on 10 May 2026 - 14:56

score 209 · Answer 14 · 2026-05-13 18:48:16

209

Views

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

Published on 13 May 2026 - 18:48

score 470 · Answer 15 · 2026-05-07 07:37:52

470

Views

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

Published on 07 May 2026 - 7:37

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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