List questions from exponential-function

Published on 14 Apr 2026 - 1:47

189

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Prove that $\lim\limits_{n \to \infty} (1-\frac{1}{2n+1})^{3n} = \frac1{e\sqrt{e}}$

Published on 15 Apr 2026 - 11:41

48

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A simple question about limits.

Published on 11 Apr 2026 - 6:23

157

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How do you prove $x^{x+1}>{(x+1)}^x, x>c$?

Published on 16 Apr 2026 - 2:11

288

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equivalent characterization of the complex exponential

Published on 14 Apr 2026 - 22:16

248

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More than one way to solve a exponential equation?

Published on 11 Apr 2026 - 6:48

96

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How to show that $2 ^\binom{N}{2} \sim \exp(\frac{N^2}{2}\ln(2))$

Published on 16 Apr 2026 - 2:20

85

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Integral Euler's formula equals integral $\frac{sin(t)}{t}$ dt

Published on 13 Apr 2026 - 11:44

70

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Can't solve exponential equation using logs?

Published on 14 Apr 2026 - 22:37

219

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Provided that $f(u)$ is holomorphic, prove that $u$ is constant

Published on 14 Apr 2026 - 4:45

618

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How to solve the following equation involving an exponential function

Published on 12 Apr 2026 - 2:38

265

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Show that $\exp(-\lambda x) \cdot\exp(\lambda x)=1$ using the power series

Published on 14 Apr 2026 - 0:56

329

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Complex Finite Product $\prod_{k=0}^{n-1} (1-\zeta^k z)$

Published on 14 Apr 2026 - 22:45

87

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Proof that $\lim_{x\to\infty} b^x=0 \iff 0 \leq b<1$

Published on 17 Apr 2026 - 15:57

156

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Limit similar to $\lim_{n \to \infty} \left(1-\frac{1}{n} \right)^n = \text{e}^{-1}$

Published on 15 Apr 2026 - 16:53

List Question

Sequence solutions of $ax=e^x$

Prove that $\lim\limits_{n \to \infty} (1-\frac{1}{2n+1})^{3n} = \frac1{e\sqrt{e}}$

A simple question about limits.

How do you prove $x^{x+1}>{(x+1)}^x, x>c$?

equivalent characterization of the complex exponential

More than one way to solve a exponential equation?

How to show that $2 ^\binom{N}{2} \sim \exp(\frac{N^2}{2}\ln(2))$

Integral Euler's formula equals integral $\frac{sin(t)}{t}$ dt

Can't solve exponential equation using logs?

Provided that $f(u)$ is holomorphic, prove that $u$ is constant

How to solve the following equation involving an exponential function

Show that $\exp(-\lambda x) \cdot\exp(\lambda x)=1$ using the power series

Complex Finite Product $\prod_{k=0}^{n-1} (1-\zeta^k z)$

Proof that $\lim_{x\to\infty} b^x=0 \iff 0 \leq b<1$

Limit similar to $\lim_{n \to \infty} \left(1-\frac{1}{n} \right)^n = \text{e}^{-1}$

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