Question

For what range of $n$ does improper integral $\int_0^{+\infty}\frac{\arctan(x)}{x^n}dx$ converge

score 133 · Answer 1 · 2026-03-27 22:12:35

133

Views

For what range of $n$ does improper integral $\int_0^{+\infty}\frac{\arctan(x)}{x^n}dx$ converge

Published on 27 Mar 2026 - 22:12

score 50 · Answer 2 · 2026-03-27 06:56:53

50

Views

Convergence of power series under a given condition

Published on 27 Mar 2026 - 6:56

score 62 · Answer 3 · 2018-05-30 19:12:23

62

Views

Limit of $\left(1-\frac{c f(n)}{n}\right)^n$

Published on 30 May 2018 - 19:12

score 61 · Answer 4 · 2026-03-25 01:18:29

61

Views

Contradiction of computation of this:$\lim _{x\to 0^+} (\frac{({2}^{(e^{x^\frac32}+1)}-4)^2}{\sin^6{(\sqrt{x}})})$ with wolfram alpha?

Published on 25 Mar 2026 - 1:18

score 99 · Answer 5 · 2026-03-31 18:00:52

99

Views

Series convergence with log and exponential function

Published on 31 Mar 2026 - 18:00

score 462 · Answer 6 · 2018-05-31 03:36:42

462

Views

Convergence of a sequence in relative topology

Published on 31 May 2018 - 3:36

score 130 · Answer 7 · 2018-05-31 04:45:54

130

Views

Test the series for convergence or divergence

Published on 31 May 2018 - 4:45

score 102 · Answer 8 · 2026-03-27 06:56:38

102

Views

Determine the interval of convergence for the following power series

Published on 27 Mar 2026 - 6:56

score 1.2k · Answer 9 · 2018-05-31 11:03:33

1.2k

Views

Showing Holder condition implies uniform convergence of the Fourier seires

Published on 31 May 2018 - 11:03

score 59 · Answer 10 · 2026-03-27 07:50:59

59

Views

Let $u_n \rightharpoonup u$ in $W^{2,p}(\Omega)$ for sufficiently large $p$. Does $\Delta u_n^+ \rightharpoonup \Delta u^+$ in $L^2(\Omega)$?

Published on 27 Mar 2026 - 7:50

score 84 · Answer 11 · 2026-03-26 18:56:35

84

Views

Do the two following functions have the same asymptotic behaviour?

Published on 26 Mar 2026 - 18:56

score 77 · Answer 12 · 2026-04-02 02:06:45

77

Views

Papers on Tensor factorization

Published on 02 Apr 2026 - 2:06

score 190 · Answer 13 · 2026-03-21 21:00:14

190

Views

Convergence of $\sum_{k=1}^\infty\frac{\operatorname{rad}(k!)}{\operatorname{lcm}(1,2,\ldots,k)}$

Published on 21 Mar 2026 - 21:00

score 43 · Answer 14 · 2026-03-28 06:24:07

43

Views

Expand the function into a Maclaurin series and find the radius of convergence

Published on 28 Mar 2026 - 6:24

score 45 · Answer 15 · 2018-06-01 04:42:37

45

Views

Is $\sum_{n=1}^{\infty}\frac{z^{2n}}{1-z^{2n}}$ convergent?

Published on 01 Jun 2018 - 4:42

List Question

For what range of $n$ does improper integral $\int_0^{+\infty}\frac{\arctan(x)}{x^n}dx$ converge

Convergence of power series under a given condition

Limit of $\left(1-\frac{c f(n)}{n}\right)^n$

Contradiction of computation of this:$\lim _{x\to 0^+} (\frac{({2}^{(e^{x^\frac32}+1)}-4)^2}{\sin^6{(\sqrt{x}})})$ with wolfram alpha?

Series convergence with log and exponential function

Convergence of a sequence in relative topology

Test the series for convergence or divergence

Determine the interval of convergence for the following power series

Showing Holder condition implies uniform convergence of the Fourier seires

Let $u_n \rightharpoonup u$ in $W^{2,p}(\Omega)$ for sufficiently large $p$. Does $\Delta u_n^+ \rightharpoonup \Delta u^+$ in $L^2(\Omega)$?

Do the two following functions have the same asymptotic behaviour?

Papers on Tensor factorization

Convergence of $\sum_{k=1}^\infty\frac{\operatorname{rad}(k!)}{\operatorname{lcm}(1,2,\ldots,k)}$

Expand the function into a Maclaurin series and find the radius of convergence

Is $\sum_{n=1}^{\infty}\frac{z^{2n}}{1-z^{2n}}$ convergent?

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