List questions from exponential-function

Published on 12 Apr 2026 - 18:04

73

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Show that if $a,b$ and $c,d$ are positive (and $c$ and $d$ are rational), then $(a^c-b^c)(a^d-b^d)\geq$0

Published on 15 Apr 2026 - 20:51

78

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What trigonometric identity was used?

Published on 13 Apr 2026 - 0:47

109

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Partial iteration and inverse iteration of $e^x$

Published on 11 May 2026 - 1:03

422

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Proof: exp(-1/x) < 1 for x > 0 (real numbers)

Published on 15 Apr 2026 - 20:10

96

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Evaluation of Finite Product Involving Ceiling Function

Published on 07 Apr 2026 - 22:14

409

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How can I solve an equation with a variable raised to itself?

Published on 18 Apr 2026 - 13:20

824

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Probability of product of two exponential variable

Published on 12 Apr 2026 - 5:15

31

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calculating the value of 2 coefficients given two known solutions

Published on 10 Apr 2026 - 16:33

324

Views

Limit $\lim_{x\to \infty}\left(\frac{1^x+2^x+3^x+...n^x}{n}\right)^{\dfrac{a}{x}}$

Published on 17 Apr 2026 - 15:47

173

Views

Matrix $\log(\exp(M))\ne M$?

Published on 28 Mar 2026 - 2:02

463

Views

Integer values of $(\frac{19}{7}-\sum_{k=0}^N \frac{1}{k!})^{-1}$

Published on 13 Apr 2026 - 9:39

34

Views

Proof concerning Fourier transform

Published on 13 Apr 2026 - 2:41

811

Views

Stuck in the proof of $(1+\frac{x}{n})^n \to e^x$

Published on 14 Apr 2026 - 17:22

273

Views

Function of exponential order whose derivative is not

Published on 12 Apr 2026 - 4:57

List Question

Representation of $e$ as a descending series

Show that if $a,b$ and $c,d$ are positive (and $c$ and $d$ are rational), then $(a^c-b^c)(a^d-b^d)\geq$0

What trigonometric identity was used?

Partial iteration and inverse iteration of $e^x$

Proof: exp(-1/x) < 1 for x > 0 (real numbers)

Evaluation of Finite Product Involving Ceiling Function

How can I solve an equation with a variable raised to itself?

Probability of product of two exponential variable

calculating the value of 2 coefficients given two known solutions

Limit $\lim_{x\to \infty}\left(\frac{1^x+2^x+3^x+...n^x}{n}\right)^{\dfrac{a}{x}}$

Matrix $\log(\exp(M))\ne M$?

Integer values of $(\frac{19}{7}-\sum_{k=0}^N \frac{1}{k!})^{-1}$

Proof concerning Fourier transform

Stuck in the proof of $(1+\frac{x}{n})^n \to e^x$

Function of exponential order whose derivative is not

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