List questions from exponential-function

224

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$\cosh(z) := \sum_{k=0}^\infty \frac{z^{2k}}{(2k)!}, z \in \mathbb{C}$ and $\cosh(z) = \frac{1}{2} (\exp(z)+\exp(-z))$

Published on 17 Dec 2019 - 11:22

84

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Integrating An Absolute Value Using Jordan's Lemma?

Published on 18 Dec 2019 - 13:28

444

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Is the complex function $f(z)=\exp(-|z|)$ uniformly continuous on $\mathbb{C}$?

Published on 29 Mar 2026 - 4:09

213

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If $x\geq 1$, then $x^{x^{\cos(x)}}\geq (1-\sqrt{x}+x)^{(x+1)^{\cos(x)}}$

Published on 20 Dec 2019 - 14:03

990

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Bound on expected value of an exponent

Published on 31 Mar 2026 - 5:40

416

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Ackermann-Péter Function: Proof by induction, power tower

Published on 17 Mar 2026 - 14:23

204

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Proving a modified Ackermann function using induction

Published on 17 Mar 2026 - 14:20

59

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How can I find the value of a non-repeating exponent tower?

Published on 25 Mar 2026 - 17:39

195

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Solve $\lim_{x\to 0^{+}}x^{x^x-1}$

Published on 22 Dec 2019 - 19:24

51

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Exponential equation with a trap that seems impossible to escape

Published on 23 Dec 2019 - 12:42

85

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Exponentiating all points on $xy=1$

Published on 31 Mar 2026 - 14:57

6.3k

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Prove that sinh(2x) = 2sinh(x)cosh(x)

Published on 26 Mar 2026 - 14:19

69

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Derivative of $a^{x^{1/2}}$

Published on 27 Dec 2019 - 18:50

118

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Equation involving exponentials $3^x+4^x+14^x=10^x+11^x$

Published on 29 Dec 2019 - 14:54

146

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Sinusoidally Varying Signal

Published on 30 Mar 2026 - 6:33

List Question

$\cosh(z) := \sum_{k=0}^\infty \frac{z^{2k}}{(2k)!}, z \in \mathbb{C}$ and $\cosh(z) = \frac{1}{2} (\exp(z)+\exp(-z))$

Integrating An Absolute Value Using Jordan's Lemma?

Is the complex function $f(z)=\exp(-|z|)$ uniformly continuous on $\mathbb{C}$?

If $x\geq 1$, then $x^{x^{\cos(x)}}\geq (1-\sqrt{x}+x)^{(x+1)^{\cos(x)}}$

Bound on expected value of an exponent

Ackermann-Péter Function: Proof by induction, power tower

Proving a modified Ackermann function using induction

How can I find the value of a non-repeating exponent tower?

Solve $\lim_{x\to 0^{+}}x^{x^x-1}$

Exponential equation with a trap that seems impossible to escape

Exponentiating all points on $xy=1$

Prove that sinh(2x) = 2sinh(x)cosh(x)

Derivative of $a^{x^{1/2}}$

Equation involving exponentials $3^x+4^x+14^x=10^x+11^x$

Sinusoidally Varying Signal

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