List questions from exponential-function

Published on 03 Apr 2026 - 5:48

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Prove that $\cosh(x):[0,\infty)\rightarrow[1,\infty)$ is bijective

Published on 07 Dec 2016 - 10:31

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Interest paid on annuity?

Published on 10 Apr 2026 - 17:47

466

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What is $\exp(-3|x|)$ mean?

Published on 12 Apr 2026 - 2:45

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$\int e^ {x^2}dx$ : Integration of e to the power of x^2

Published on 08 Dec 2016 - 5:37

49

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Multidimensional function smooth (in ${C_c}^\infty(\mathbb{R}^n)$)

Published on 08 Dec 2016 - 15:35

162

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Limit of $\left(1+\frac{2}{n^2}\right)^n $

Published on 08 Dec 2016 - 20:23

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Finding an exponential equation with 2 points

Published on 09 Apr 2026 - 3:09

155

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Proof for the inequality $x_n>y_m$ for $n>m$, where $x_n = \left(1+\frac1n\right)^n$ and $y_n = \sum\limits_{k=0}^n \frac1{k!}$

Published on 31 Mar 2026 - 18:22

130

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Exponential of a sum comparing to a sum of exponentials (2 variables)

Published on 10 Apr 2026 - 21:42

35

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Bernoulli's Inequality: using estimate from $a>0$ to show the estimate for $n\geq2$

Published on 09 Dec 2016 - 11:17

142

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Proving $\lim_{x\rightarrow \infty}\frac{25x^2}{e^{10x}}=0 $?

Published on 09 Dec 2016 - 11:56

403

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Show that $e^n>\frac{(n+1)^n}{n!}$ without using induction.

Published on 04 Apr 2026 - 15:18

530

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Poisson Expected value using power series

Published on 11 Apr 2026 - 10:23

77

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Divisibility of a number of the form $4^n-1$ with large $n$

Published on 09 Dec 2016 - 22:55

List Question

Prove $ \exists t \in [0, \pi] .\cos(t) = \frac{x}{r}$

Prove that $\cosh(x):[0,\infty)\rightarrow[1,\infty)$ is bijective

Interest paid on annuity?

What is $\exp(-3|x|)$ mean?

$\int e^ {x^2}dx$ : Integration of e to the power of x^2

Multidimensional function smooth (in ${C_c}^\infty(\mathbb{R}^n)$)

Limit of $\left(1+\frac{2}{n^2}\right)^n $

Finding an exponential equation with 2 points

Proof for the inequality $x_n>y_m$ for $n>m$, where $x_n = \left(1+\frac1n\right)^n$ and $y_n = \sum\limits_{k=0}^n \frac1{k!}$

Exponential of a sum comparing to a sum of exponentials (2 variables)

Bernoulli's Inequality: using estimate from $a>0$ to show the estimate for $n\geq2$

Proving $\lim_{x\rightarrow \infty}\frac{25x^2}{e^{10x}}=0 $?

Show that $e^n>\frac{(n+1)^n}{n!}$ without using induction.

Poisson Expected value using power series

Divisibility of a number of the form $4^n-1$ with large $n$

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