List questions from exponential-function

Published on 10 Apr 2026 - 20:30

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How can I prove $\pi=e^{3/2}\prod_{n=2}^{\infty}e\left(1-\frac{1}{n^2}\right)^{n^2}$?

Published on 16 Apr 2026 - 8:05

1.5k

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For which complex $a,\,b,\,c$ does $(a^b)^c=a^{bc}$ hold?

Published on 12 Apr 2026 - 15:17

386

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Excel's EXP function compared to a series expansion

Published on 11 Apr 2026 - 14:40

478

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Definition of exponential function -

Published on 12 Apr 2026 - 12:13

465

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how to prove that $\lim\limits_{n\to\infty} \left( 1-\frac{1}{n} \right)^n = \frac{1}{e}$

Published on 14 Apr 2026 - 17:53

156

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Solving a exponential/log equation

Published on 17 Apr 2026 - 7:59

9.4k

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Why do we use base $e$ in population growth questions?

Published on 08 Apr 2026 - 23:17

284

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How do I solve $2^x + x = n$ equation for $x$?

Published on 17 Apr 2026 - 13:11

245

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Proving Lower bounds on an Approximately Linear Function

Published on 12 Apr 2026 - 13:19

399

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Can you solve this? $15\cdot(3^{x+1}) - 243\cdot(5^{x - 2}) = 0$

Published on 17 Apr 2026 - 5:15

165

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Solving an exponential function

Published on 15 Apr 2026 - 2:29

143

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Closed form for an integral

Published on 08 Apr 2026 - 21:53

59

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Why is this true: $1- (1-1/n)^{\varepsilon n} \leq \varepsilon + \mathcal{O}(\varepsilon^2)$

Published on 16 Apr 2026 - 19:28

257

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A function for non-linear animation steps (large in the middle, small at the ends)

Published on 14 Apr 2026 - 13:22

List Question

Finding X from Exponential Equations

How can I prove $\pi=e^{3/2}\prod_{n=2}^{\infty}e\left(1-\frac{1}{n^2}\right)^{n^2}$?

For which complex $a,\,b,\,c$ does $(a^b)^c=a^{bc}$ hold?

Excel's EXP function compared to a series expansion

Definition of exponential function -

how to prove that $\lim\limits_{n\to\infty} \left( 1-\frac{1}{n} \right)^n = \frac{1}{e}$

Solving a exponential/log equation

Why do we use base $e$ in population growth questions?

How do I solve $2^x + x = n$ equation for $x$?

Proving Lower bounds on an Approximately Linear Function

Can you solve this? $15\cdot(3^{x+1}) - 243\cdot(5^{x - 2}) = 0$

Solving an exponential function

Closed form for an integral

Why is this true: $1- (1-1/n)^{\varepsilon n} \leq \varepsilon + \mathcal{O}(\varepsilon^2)$

A function for non-linear animation steps (large in the middle, small at the ends)

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