Question

About $\sqrt[k]{l + \sqrt[k]{l + \sqrt[k]{l + ...}}} $ asymptotics

score 77 · Answer 1 · 2026-03-25 18:08:15

77

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About $\sqrt[k]{l + \sqrt[k]{l + \sqrt[k]{l + ...}}} $ asymptotics

Published on 25 Mar 2026 - 18:08

score 771 · Answer 2 · 2026-03-28 08:36:29

771

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Closed expression for sum $\sum_{k=1}^{\infty} (-1)^{k+1}\frac{\left\lfloor \sqrt{k}\right\rfloor}{k}$

Published on 28 Mar 2026 - 8:36

score 129 · Answer 3 · 2026-03-25 23:39:41

129

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A solution for the integral $\int \frac{\sqrt[3]{x} }{\sqrt[3]{x^2} -\sqrt{x} } dx $ and WA's "invalid input".

Published on 25 Mar 2026 - 23:39

score 67 · Answer 4 · 2019-11-27 21:19:47

67

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Does the series of $\frac{x^n}{(n!)^2}$ converge to a function?

Published on 27 Nov 2019 - 21:19

score 109 · Answer 5 · 2019-11-27 23:33:10

109

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Prove that $\int_0^\infty\frac1{t^x+1}dt = \frac\pi x \csc \frac\pi x$

Published on 27 Nov 2019 - 23:33

score 65 · Answer 6 · 2019-11-29 17:23:02

65

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Finding Closed Form Representation of A Sum of Trigonometric Functions

Published on 29 Nov 2019 - 17:23

score 481 · Answer 7 · 2026-03-28 10:24:11

481

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Closed form of sum $\sum\limits_{k=1}^{\infty } \frac{(-1)^{k+1}}{\left\lfloor \sqrt{k}\right\rfloor}$

Published on 28 Mar 2026 - 10:24

score 85 · Answer 8 · 2019-11-30 12:21:39

85

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calculate:$\int \frac{x+1}{-x(x+1)+\sqrt{x^2+1}}dx$

Published on 30 Nov 2019 - 12:21

score 94 · Answer 9 · 2026-03-28 10:24:15

94

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Closed expression for sum $\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k}\left\lfloor k^{\frac{2}{3}}\right\rfloor$

Published on 28 Mar 2026 - 10:24

score 119 · Answer 10 · 2019-12-01 12:48:30

119

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Solve $\cos 2x-\cos 3x+\sin 4x = 0$

Published on 01 Dec 2019 - 12:48

score 144 · Answer 11 · 2026-03-25 12:49:06

144

Views

Solve $y=(1+1/y)^x$ for $y$.

Published on 25 Mar 2026 - 12:49

score 113 · Answer 12 · 2019-12-02 10:44:03

113

Views

Is it possible to express this sum in a closed form?

Published on 02 Dec 2019 - 10:44

score 212 · Answer 13 · 2026-03-26 09:41:12

212

Views

Closed form for the partial sums of the Thue-Morse sequence

Published on 26 Mar 2026 - 9:41

score 85 · Answer 14 · 2019-12-03 20:59:00

85

Views

find a closed form expression for $\sum_{k=0}^n \left \lceil\sqrt{2k} \right\rceil, \quad n \ge 0$

Published on 03 Dec 2019 - 20:59

score 40 · Answer 15 · 2026-03-27 00:01:32

40

Views

perfect lens: expression for interface

Published on 27 Mar 2026 - 0:01

List Question

About $\sqrt[k]{l + \sqrt[k]{l + \sqrt[k]{l + ...}}} $ asymptotics

Closed expression for sum $\sum_{k=1}^{\infty} (-1)^{k+1}\frac{\left\lfloor \sqrt{k}\right\rfloor}{k}$

A solution for the integral $\int \frac{\sqrt[3]{x} }{\sqrt[3]{x^2} -\sqrt{x} } dx $ and WA's "invalid input".

Does the series of $\frac{x^n}{(n!)^2}$ converge to a function?

Prove that $\int_0^\infty\frac1{t^x+1}dt = \frac\pi x \csc \frac\pi x$

Finding Closed Form Representation of A Sum of Trigonometric Functions

Closed form of sum $\sum\limits_{k=1}^{\infty } \frac{(-1)^{k+1}}{\left\lfloor \sqrt{k}\right\rfloor}$

calculate:$\int \frac{x+1}{-x(x+1)+\sqrt{x^2+1}}dx$

Closed expression for sum $\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k}\left\lfloor k^{\frac{2}{3}}\right\rfloor$

Solve $\cos 2x-\cos 3x+\sin 4x = 0$

Solve $y=(1+1/y)^x$ for $y$.

Is it possible to express this sum in a closed form?

Closed form for the partial sums of the Thue-Morse sequence

find a closed form expression for $\sum_{k=0}^n \left \lceil\sqrt{2k} \right\rceil, \quad n \ge 0$

perfect lens: expression for interface

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