Question

How can I find this limit involving thrice-iterated logarithm?

score 944 · Answer 1 · 2014-09-10 05:20:41

944

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How can I find this limit involving thrice-iterated logarithm?

Published on 10 Sep 2014 - 5:20

score 624 · Answer 2 · 2026-04-07 18:02:07

624

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Comparing asymptotic growth of logarithmic functions by reasoning

Published on 07 Apr 2026 - 18:02

score 40 · Answer 3 · 2014-09-11 00:23:25

40

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Logarithm Base Question

Published on 11 Sep 2014 - 0:23

score 6k · Answer 4 · 2026-03-30 07:28:22

6k

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Prove that the binary representation of a number $n$ will use $\lfloor\lg n\rfloor+1$ bits.

Published on 30 Mar 2026 - 7:28

score 2.1k · Answer 5 · 2014-09-12 13:47:09

2.1k

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Solve $x\log x=y$

Published on 12 Sep 2014 - 13:47

score 72 · Answer 6 · 2026-04-09 00:57:39

72

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iterated logarithm equation misunderstanding

Published on 09 Apr 2026 - 0:57

score 111 · Answer 7 · 2014-09-12 20:28:55

111

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Checking a possible logarithm identity: $(\sqrt{2})^{\lg n} \stackrel{?}{=} 2^{\sqrt{2\lg n}}$

Published on 12 Sep 2014 - 20:28

score 5.8k · Answer 8 · 2026-03-28 08:46:20

5.8k

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Is $(\log(n))!$ a polynomially bounded function?

Published on 28 Mar 2026 - 8:46

score 264 · Answer 9 · 2026-04-09 03:22:38

264

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Using an identity to simplify the sum

Published on 09 Apr 2026 - 3:22

score 107 · Answer 10 · 2026-03-25 07:41:19

107

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Function related to Harmonic numbers, the Pascal triangle, Logarithmic integral and the Polylogarithm.

Published on 25 Mar 2026 - 7:41

score 238 · Answer 11 · 2026-04-03 23:22:36

238

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Finding $\int_{0}^{1} \frac{\log(1+x)}{1+x^2} {\rm d}x$ by differentiating under the integral sign.

Published on 03 Apr 2026 - 23:22

score 367 · Answer 12 · 2026-03-31 01:08:44

367

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Integration by parts: $\int x\ln x^2 \,dx$

Published on 31 Mar 2026 - 1:08

score 31 · Answer 13 · 2014-09-13 21:17:51

31

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problem solving logarithmic equation and reaching an equivalence

Published on 13 Sep 2014 - 21:17

score 305 · Answer 14 · 2026-03-28 14:37:54

305

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Why is this function a really good asymptotic for $\exp(x)\sqrt{x}$

Published on 28 Mar 2026 - 14:37

score 71 · Answer 15 · 2026-03-29 17:44:49

71

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How to show $\log a\le n(\sqrt[n]{a}-1) \le \sqrt[n]{a}\log a$

Published on 29 Mar 2026 - 17:44

List Question

How can I find this limit involving thrice-iterated logarithm?

Comparing asymptotic growth of logarithmic functions by reasoning

Logarithm Base Question

Prove that the binary representation of a number $n$ will use $\lfloor\lg n\rfloor+1$ bits.

Solve $x\log x=y$

iterated logarithm equation misunderstanding

Checking a possible logarithm identity: $(\sqrt{2})^{\lg n} \stackrel{?}{=} 2^{\sqrt{2\lg n}}$

Is $(\log(n))!$ a polynomially bounded function?

Using an identity to simplify the sum

Function related to Harmonic numbers, the Pascal triangle, Logarithmic integral and the Polylogarithm.

Finding $\int_{0}^{1} \frac{\log(1+x)}{1+x^2} {\rm d}x$ by differentiating under the integral sign.

Integration by parts: $\int x\ln x^2 \,dx$

problem solving logarithmic equation and reaching an equivalence

Why is this function a really good asymptotic for $\exp(x)\sqrt{x}$

How to show $\log a\le n(\sqrt[n]{a}-1) \le \sqrt[n]{a}\log a$

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