Question

What is the limit as k approaches infinity of $(k!)^{\frac{1}{k}}$

score 5.8k · Answer 1 · 2026-04-03 01:20:13

5.8k

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What is the limit as k approaches infinity of $(k!)^{\frac{1}{k}}$

Published on 03 Apr 2026 - 1:20

score 599 · Answer 2 · 2015-04-12 17:56:28

599

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Identity in Ramanujan style

Published on 12 Apr 2015 - 17:56

score 560 · Answer 3 · 2015-04-13 07:30:53

560

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System of equations with radicals: $2\sqrt[4]{\frac{x^4}{3}+4}=1+\sqrt{\frac{3}{2}y^2}$ and $2\sqrt[4]{\frac{y^4}{3}+4} = 1+\sqrt{\frac{3}{2}x^2}$

Published on 13 Apr 2015 - 7:30

score 951 · Answer 4 · 2015-04-14 00:25:46

951

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Complex values of the cube root

Published on 14 Apr 2015 - 0:25

score 3.3k · Answer 5 · 2026-03-30 08:57:38

3.3k

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Is the nth root of a product of n terms used in place of the average anywhere?

Published on 30 Mar 2026 - 8:57

score 8.8k · Answer 6 · 2015-04-16 01:57:21

8.8k

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Why aren't these negative numbers solutions for radical equations?

Published on 16 Apr 2015 - 1:57

score 4.5k · Answer 7 · 2026-04-01 05:34:43

4.5k

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Sum of Floor of Square Root: $S = \sum_{k=1}^{n} \lfloor \sqrt{k}\rfloor$

Published on 01 Apr 2026 - 5:34

score 93 · Answer 8 · 2015-04-22 22:32:11

93

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How can I find if the sequence $z_n = \sqrt{n+2} - \sqrt{n} $ converges or diverges?

Published on 22 Apr 2015 - 22:32

score 294 · Answer 9 · 2026-03-25 11:11:39

294

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How to prove or disprove this algebraic inequality?

Published on 25 Mar 2026 - 11:11

score 125 · Answer 10 · 2015-04-23 22:58:22

125

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Simplifying Square Roots Frustration

Published on 23 Apr 2015 - 22:58

score 2.9k · Answer 11 · 2015-04-25 17:48:34

2.9k

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Finding triplets $(a,b,c)$ such that $\sqrt{abc}\in\mathbb N$ divides $(a-1)(b-1)(c-1)$

Published on 25 Apr 2015 - 17:48

score 78 · Answer 12 · 2015-04-27 00:10:02

78

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Square Root Confusion

Published on 27 Apr 2015 - 0:10

score 8.4k · Answer 13 · 2026-03-26 16:10:17

8.4k

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If $a,b$ are positive rational numbers and $\sqrt a+\sqrt b$ is rational, then both of $\sqrt a,\sqrt b$ are rational numbers

Published on 26 Mar 2026 - 16:10

score 68 · Answer 14 · 2015-04-28 00:03:52

68

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How to find the limit of a function with a third root?

Published on 28 Apr 2015 - 0:03

score 198 · Answer 15 · 2015-05-02 15:38:26

198

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Solve this equation: $7x^3+11x^2+6x+2=(x+2)\sqrt[3]{x^3+3x^2+5x+1}$

Published on 02 May 2015 - 15:38

List Question

What is the limit as k approaches infinity of $(k!)^{\frac{1}{k}}$

Identity in Ramanujan style

System of equations with radicals: $2\sqrt[4]{\frac{x^4}{3}+4}=1+\sqrt{\frac{3}{2}y^2}$ and $2\sqrt[4]{\frac{y^4}{3}+4} = 1+\sqrt{\frac{3}{2}x^2}$

Complex values of the cube root

Is the nth root of a product of n terms used in place of the average anywhere?

Why aren't these negative numbers solutions for radical equations?

Sum of Floor of Square Root: $S = \sum_{k=1}^{n} \lfloor \sqrt{k}\rfloor$

How can I find if the sequence $z_n = \sqrt{n+2} - \sqrt{n} $ converges or diverges?

How to prove or disprove this algebraic inequality?

Simplifying Square Roots Frustration

Finding triplets $(a,b,c)$ such that $\sqrt{abc}\in\mathbb N$ divides $(a-1)(b-1)(c-1)$

Square Root Confusion

If $a,b$ are positive rational numbers and $\sqrt a+\sqrt b$ is rational, then both of $\sqrt a,\sqrt b$ are rational numbers

How to find the limit of a function with a third root?

Solve this equation: $7x^3+11x^2+6x+2=(x+2)\sqrt[3]{x^3+3x^2+5x+1}$

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