Question

Expected remaining lifetime of a machine having rate $\Lambda$

score 276 · Answer 1 · 2026-04-11 16:08:46

276

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Expected remaining lifetime of a machine having rate $\Lambda$

Published on 11 Apr 2026 - 16:08

score 71 · Answer 2 · 2026-04-11 13:07:42

71

Views

How to show that $\sum_{k=0}^n\dfrac{z^k}{k!}\to \mathrm e^z$ without using Cauchy product

Published on 11 Apr 2026 - 13:07

score 158 · Answer 3 · 2026-04-11 12:48:23

158

Views

Exponential family of distributions

Published on 11 Apr 2026 - 12:48

score 39 · Answer 4 · 2016-10-23 05:50:21

39

Views

Starting from the assumption that $e^x$ is the solution to the equations $f(x)=f'(x)$ and $f(0)=1$, how may one derive the direct expansions of $e$?

Published on 23 Oct 2016 - 5:50

score 27 · Answer 5 · 2026-04-11 12:57:25

27

Views

Is there a simple analytic method to solve for n in this equation?

Published on 11 Apr 2026 - 12:57

score 130 · Answer 6 · 2016-10-23 22:01:26

130

Views

What is the domain of $y = (-2)^x\;?$

Published on 23 Oct 2016 - 22:01

score 125 · Answer 7 · 2026-04-09 17:33:10

125

Views

Prove a function has exactly one real root on interval $(0,\infty)$

Published on 09 Apr 2026 - 17:33

score 143 · Answer 8 · 2026-04-10 20:54:24

143

Views

How to calculate this double integral? (solution known)

Published on 10 Apr 2026 - 20:54

score 107 · Answer 9 · 2016-10-24 15:41:36

107

Views

Why is $\lim_{n \rightarrow \infty} \bigg( \bigg| \frac{n^{n^2} (n+2)^{(n+1)^2}}{(n+1)^{2n^2+2n+1}} \bigg| \bigg)=e$?

Published on 24 Oct 2016 - 15:41

score 109 · Answer 10 · 2016-10-24 17:25:30

109

Views

How to calculate $\lim_{n \rightarrow \infty} e^{-n} (\frac{1}{n}+1)^{n^2}$?

Published on 24 Oct 2016 - 17:25

score 209 · Answer 11 · 2026-04-11 01:54:31

209

Views

What are some clever (preferably physical) examples of processes exhibiting exponential growth?

Published on 11 Apr 2026 - 1:54

score 30 · Answer 12 · 2026-03-29 20:26:12

30

Views

Compounding Period Issue

Published on 29 Mar 2026 - 20:26

score 1.1k · Answer 13 · 2016-10-25 20:35:03

1.1k

Views

McLaurin Polynomial for $e^{3x^{2}}$

Published on 25 Oct 2016 - 20:35

score 2.9k · Answer 14 · 2016-10-26 11:01:19

2.9k

Views

How to prove that $e^x=x$ has no real solution?

Published on 26 Oct 2016 - 11:01

score 104 · Answer 15 · 2026-04-12 07:40:51

104

Views

finding the number of all real zeros of $f(x)=\sec(x)-e^{-x^2}$

Published on 12 Apr 2026 - 7:40

List Question

Expected remaining lifetime of a machine having rate $\Lambda$

How to show that $\sum_{k=0}^n\dfrac{z^k}{k!}\to \mathrm e^z$ without using Cauchy product

Exponential family of distributions

Starting from the assumption that $e^x$ is the solution to the equations $f(x)=f'(x)$ and $f(0)=1$, how may one derive the direct expansions of $e$?

Is there a simple analytic method to solve for n in this equation?

What is the domain of $y = (-2)^x\;?$

Prove a function has exactly one real root on interval $(0,\infty)$

How to calculate this double integral? (solution known)

Why is $\lim_{n \rightarrow \infty} \bigg( \bigg| \frac{n^{n^2} (n+2)^{(n+1)^2}}{(n+1)^{2n^2+2n+1}} \bigg| \bigg)=e$?

How to calculate $\lim_{n \rightarrow \infty} e^{-n} (\frac{1}{n}+1)^{n^2}$?

What are some clever (preferably physical) examples of processes exhibiting exponential growth?

Compounding Period Issue

McLaurin Polynomial for $e^{3x^{2}}$

How to prove that $e^x=x$ has no real solution?

finding the number of all real zeros of $f(x)=\sec(x)-e^{-x^2}$

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