Question

Proofs that there is no $f(z)$ such that $\exp f(z) = z$ for all $z \in \Bbb{C}\setminus\{0\}$

score 4.7k · Answer 1 · 2026-04-14 20:12:38

4.7k

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Proofs that there is no $f(z)$ such that $\exp f(z) = z$ for all $z \in \Bbb{C}\setminus\{0\}$

Published on 14 Apr 2026 - 20:12

score 144 · Answer 2 · 2026-04-11 01:00:09

144

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Practical significance of $e$

Published on 11 Apr 2026 - 1:00

score 263 · Answer 3 · 2026-04-14 19:52:33

263

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$\lim _{ n\rightarrow \infty }{ { \left( -1+\frac { 1 }{ n } \right) }^{ n } } =? $

Published on 14 Apr 2026 - 19:52

score 184 · Answer 4 · 2026-04-13 07:03:06

184

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Why does $e$ seem to be an intuitive number?

Published on 13 Apr 2026 - 7:03

score 437 · Answer 5 · 2026-04-11 12:26:50

437

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How to find a rule from a table

Published on 11 Apr 2026 - 12:26

score 35.1k · Answer 6 · 2026-04-10 17:33:14

35.1k

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What is the difference between logarithmic decay vs exponential decay?

Published on 10 Apr 2026 - 17:33

score 829 · Answer 7 · 2026-04-09 22:28:35

829

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Natural growth and decay rate of a bacteria culture

Published on 09 Apr 2026 - 22:28

score 297 · Answer 8 · 2026-04-15 18:05:11

297

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If $x_n = (\prod_{k=0}^n \binom{n}{k})^\frac{2}{n(n+1)}$ then $\lim_{n \to \infty} x_n = e$

Published on 15 Apr 2026 - 18:05

score 7.4k · Answer 9 · 2026-04-16 00:03:56

7.4k

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How is the gradient of exponential functions with different bases (in the included table) worked out?

Published on 16 Apr 2026 - 0:03

score 6.3k · Answer 10 · 2026-04-13 21:50:29

6.3k

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Removing logs from equation

Published on 13 Apr 2026 - 21:50

score 262 · Answer 11 · 2026-04-08 17:20:28

262

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Confusion regarding the Logarithmic function change of base formula

Published on 08 Apr 2026 - 17:20

score 1k · Answer 12 · 2026-04-16 15:49:16

1k

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A closed form for $\int_0^\infty\left(\frac{2^{-x}-3^{-x}}x\right)^adx,\ a\notin\mathbb{Z}^+$

Published on 16 Apr 2026 - 15:49

score 368 · Answer 13 · 2026-04-15 09:26:31

368

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Is it trivial to say $\mathop {\lim }\limits_{n \to \infty } {(1 + {k \over n})^n} = e^{k}$

Published on 15 Apr 2026 - 9:26

score 2.5k · Answer 14 · 2026-04-12 22:38:53

2.5k

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Closed form for a fixed point of the exponential function?

Published on 12 Apr 2026 - 22:38

score 105 · Answer 15 · 2026-04-12 10:45:33

105

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finding an 'e' based limit for this sequence

Published on 12 Apr 2026 - 10:45

List Question

Proofs that there is no $f(z)$ such that $\exp f(z) = z$ for all $z \in \Bbb{C}\setminus\{0\}$

Practical significance of $e$

$\lim _{ n\rightarrow \infty }{ { \left( -1+\frac { 1 }{ n } \right) }^{ n } } =? $

Why does $e$ seem to be an intuitive number?

How to find a rule from a table

What is the difference between logarithmic decay vs exponential decay?

Natural growth and decay rate of a bacteria culture

If $x_n = (\prod_{k=0}^n \binom{n}{k})^\frac{2}{n(n+1)}$ then $\lim_{n \to \infty} x_n = e$

How is the gradient of exponential functions with different bases (in the included table) worked out?

Removing logs from equation

Confusion regarding the Logarithmic function change of base formula

A closed form for $\int_0^\infty\left(\frac{2^{-x}-3^{-x}}x\right)^adx,\ a\notin\mathbb{Z}^+$

Is it trivial to say $\mathop {\lim }\limits_{n \to \infty } {(1 + {k \over n})^n} = e^{k}$

Closed form for a fixed point of the exponential function?

finding an 'e' based limit for this sequence

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