Question

What is $\lim_{\epsilon\rightarrow0}\int_{\epsilon}^{\infty}\frac{e^{-u}-e^{-u^{\alpha}x}}{u}~\mathrm{d}u$?

score 109 · Answer 1 · 2026-04-16 11:11:16

109

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What is $\lim_{\epsilon\rightarrow0}\int_{\epsilon}^{\infty}\frac{e^{-u}-e^{-u^{\alpha}x}}{u}~\mathrm{d}u$?

Published on 16 Apr 2026 - 11:11

score 394 · Answer 2 · 2026-04-11 01:03:51

394

Views

What is the history of the different logarithm notations?

Published on 11 Apr 2026 - 1:03

score 108 · Answer 3 · 2026-04-17 06:30:58

Solve equation: $\log_2 \left(1+ \frac{1}{a}\right) + \log_2 \left(1 +\frac{1}{b}\right)+ \log_2 \left(1 + \frac{1}{c}\right) = 2$

score 502 · Answer 4 · 2026-04-11 00:50:52

502

Views

How do you find the number of digits for a solution for logarithmic equation and inequalities?

Published on 11 Apr 2026 - 0:50

score 1k · Answer 5 · 2026-03-26 02:44:36

1k

Views

Limits to infinity of exponential functions

Published on 26 Mar 2026 - 2:44

score 691 · Answer 6 · 2026-04-17 13:48:50

691

Views

Proving that $f(n)=nlog(n)$ is a $b$-smooth function

Published on 17 Apr 2026 - 13:48

score 66 · Answer 7 · 2026-04-12 10:25:40

66

Views

How to solve where an equation where the variable is in the exponent?

Published on 12 Apr 2026 - 10:25

score 130 · Answer 8 · 2026-04-12 09:30:58

130

Views

How can I simplify $5^{\log_3 n}$?

Published on 12 Apr 2026 - 9:30

score 17.3k · Answer 9 · 2026-04-15 13:51:35

17.3k

Views

Isn't square root a bit like Log()?

Published on 15 Apr 2026 - 13:51

score 111 · Answer 10 · 2026-04-16 22:04:12

111

Views

Evaluate $\int_{0}^{1} \frac{\ln(1-x)\ln^2(1+x)\:dx}{x}$

Published on 16 Apr 2026 - 22:04

score 69 · Answer 11 · 2026-04-15 04:05:43

69

Views

Searching for real solutions of $2^x = \frac{3}{4}x + \frac{5}{4}$

Published on 15 Apr 2026 - 4:05

score 45 · Answer 12 · 2026-04-15 06:34:40

45

Views

Prove that $\frac{2d}{\exp(-2\log(2d))} \le \frac{1}{2d}$

Published on 15 Apr 2026 - 6:34

score 63 · Answer 13 · 2026-04-13 00:58:19

63

Views

Show that this function is decreasing

Published on 13 Apr 2026 - 0:58

score 553 · Answer 14 · 2026-04-14 05:56:07

553

Views

Negative-base logarithm, where's the issue here

Published on 14 Apr 2026 - 5:56

score 287 · Answer 15 · 2026-04-10 11:02:49

287

Views

How do I find the equation of a logarithmic spiral (in polar form) passing through a certain amount of points?

Published on 10 Apr 2026 - 11:02

List Question

What is $\lim_{\epsilon\rightarrow0}\int_{\epsilon}^{\infty}\frac{e^{-u}-e^{-u^{\alpha}x}}{u}~\mathrm{d}u$?

What is the history of the different logarithm notations?

Solve equation: $\log_2 \left(1+ \frac{1}{a}\right) + \log_2 \left(1 +\frac{1}{b}\right)+ \log_2 \left(1 + \frac{1}{c}\right) = 2$

How do you find the number of digits for a solution for logarithmic equation and inequalities?

Limits to infinity of exponential functions

Proving that $f(n)=nlog(n)$ is a $b$-smooth function

How to solve where an equation where the variable is in the exponent?

How can I simplify $5^{\log_3 n}$?

Isn't square root a bit like Log()?

Evaluate $\int_{0}^{1} \frac{\ln(1-x)\ln^2(1+x)\:dx}{x}$

Searching for real solutions of $2^x = \frac{3}{4}x + \frac{5}{4}$

Prove that $\frac{2d}{\exp(-2\log(2d))} \le \frac{1}{2d}$

Show that this function is decreasing

Negative-base logarithm, where's the issue here

How do I find the equation of a logarithmic spiral (in polar form) passing through a certain amount of points?

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