List questions from exponential-function

Published on 16 Apr 2026 - 3:48

214

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Can an expectation with a brownian motion in the denominator be finite

Published on 13 Apr 2026 - 10:05

102

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Is there an intuitive see why $\lim_{n \to \infty} \frac{e^{x/n}-1}{x/n} = 1$

Published on 14 Apr 2026 - 21:52

120

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How to solve equation with unknown nth degree

Published on 12 Apr 2026 - 22:55

570

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Proving an inequality of trigonometric functions

Published on 13 Apr 2026 - 11:53

175

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If $b>a>0$ , how to prove that $\left(\frac {\sqrt a +\sqrt b}{2}\right )^2 < \frac 1e \left(\frac {b^b} {a^a}\right)^{\frac 1{b-a}}$?

Published on 15 Apr 2026 - 16:15

108

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Is there any other function satisfying $f(x+y)=f(x)f(y)$

Published on 14 Apr 2026 - 20:23

143

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Closed form for an integral with confluent Hypergeometric function

Published on 08 Apr 2026 - 20:46

88

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If $x-x^p = 1$ then how can I define x without itself?

Published on 16 Apr 2026 - 8:31

53

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Find order of $f(x)$ when $g(f(x))\to\infty$ as $x\to \infty$

Published on 15 Apr 2026 - 6:22

385

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theorem about inflection points in (polynomial times exponential)

Published on 12 Apr 2026 - 7:36

250

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Find degressive cost function that goes through two points

Published on 10 Apr 2026 - 18:20

70

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Exponential Decay Pattern

Published on 14 Apr 2026 - 8:51

694

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How to show $\exp(ix)=\cos x+i\sin x$ using $\exp(z)=\sum_{n=0}^{\infty}\frac{z^n}{n!}$

Published on 14 Apr 2026 - 18:39

90

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Solving $\frac {e^x-3}{e^x-2}-|x|=0$

Published on 17 Apr 2026 - 0:46

List Question

Compositional Inverse for the Shifted Exponential Function

Can an expectation with a brownian motion in the denominator be finite

Is there an intuitive see why $\lim_{n \to \infty} \frac{e^{x/n}-1}{x/n} = 1$

How to solve equation with unknown nth degree

Proving an inequality of trigonometric functions

If $b>a>0$ , how to prove that $\left(\frac {\sqrt a +\sqrt b}{2}\right )^2 < \frac 1e \left(\frac {b^b} {a^a}\right)^{\frac 1{b-a}}$?

Is there any other function satisfying $f(x+y)=f(x)f(y)$

Closed form for an integral with confluent Hypergeometric function

If $x-x^p = 1$ then how can I define x without itself?

Find order of $f(x)$ when $g(f(x))\to\infty$ as $x\to \infty$

theorem about inflection points in (polynomial times exponential)

Find degressive cost function that goes through two points

Exponential Decay Pattern

How to show $\exp(ix)=\cos x+i\sin x$ using $\exp(z)=\sum_{n=0}^{\infty}\frac{z^n}{n!}$

Solving $\frac {e^x-3}{e^x-2}-|x|=0$

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