List questions from eulers-number-e

Published on 11 Jun 2015 - 18:44

67

Views

Evaluate $\lim\limits_{n\rightarrow\infty}\left(\frac{n^2 + 1}{n^2 - 2}\right)^{n^2}$

Published on 28 Nov 2015 - 20:28

229

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Why is $\lim\limits_{n\to\infty} (1 + \frac{1}{2n})^n = e^{\frac{1}{2}}$

Published on 20 Jun 2016 - 19:07

98

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$10-e$ interesting decimal expansion property

Published on 29 Dec 2017 - 16:34

9.8k

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Intuitive Understanding of the constant "$e$"

Published on 09 Mar 2011 - 19:14

5.7k

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Prove the definitions of $e$ to be equivalent

Published on 04 Oct 2011 - 16:26

6.3k

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Proof of the Series Representation of e...stuck

Published on 17 Mar 2013 - 1:43

28k

Views

Prove that $e^{i\pi} = -1$

Published on 26 Mar 2013 - 0:18

105

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Why doesn't substituting very large $n$ into $(1+1/n)^n$ give values approaching Euler's number $e$?

Published on 19 Aug 2020 - 0:54

69

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Factorial characterization of the Euler number

Published on 03 Sep 2020 - 15:53

68

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show that the fish number expected value is e, if you stop fishing only if the last fish caught is lighter than the one before

Published on 07 Sep 2020 - 13:25

71

Views

Why is e seen in seen in gravity? (catenary curves)

Published on 19 Sep 2020 - 22:57

66

Views

Need help in making sense of natural logarithms and exponents in terms of calculus

Published on 29 Sep 2020 - 6:35

97

Views

Why you can't integrate this as it appears in the solution? And why this value is 0?

Published on 29 Sep 2020 - 18:36

626

Views

Does the complex exponential function $\exp(z)$ have an axiomatic definition?

Published on 05 Oct 2020 - 18:15

List Question

Solving this inequality: $e^x \geq x^e$

Evaluate $\lim\limits_{n\rightarrow\infty}\left(\frac{n^2 + 1}{n^2 - 2}\right)^{n^2}$

Why is $\lim\limits_{n\to\infty} (1 + \frac{1}{2n})^n = e^{\frac{1}{2}}$

$10-e$ interesting decimal expansion property

Intuitive Understanding of the constant "$e$"

Prove the definitions of $e$ to be equivalent

Proof of the Series Representation of e...stuck

Prove that $e^{i\pi} = -1$

Why doesn't substituting very large $n$ into $(1+1/n)^n$ give values approaching Euler's number $e$?

Factorial characterization of the Euler number

show that the fish number expected value is e, if you stop fishing only if the last fish caught is lighter than the one before

Why is e seen in seen in gravity? (catenary curves)

Need help in making sense of natural logarithms and exponents in terms of calculus

Why you can't integrate this as it appears in the solution? And why this value is 0?

Does the complex exponential function $\exp(z)$ have an axiomatic definition?

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