List questions from exponential-function

Published on 11 Apr 2026 - 13:58

880

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Proof that $x^y + y^x > 1 \ \forall x,y > 0 $

Published on 14 Apr 2026 - 14:31

130

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Closed Formula For $\sum_{i =1}^{n}(n-i)\cdot 2^{i-1}$

Published on 13 Apr 2026 - 17:32

361

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Find $\lim_\limits{x\to 0} \frac{\sin x}{e^x -1 -\sin x}$

Published on 17 Apr 2026 - 0:40

148

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proportional exponential decay formula

Published on 08 Apr 2026 - 19:02

1.9k

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Implicit differentiation and exponential

Published on 12 Apr 2026 - 13:13

384

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A sequence divisible by 9

Published on 13 Apr 2026 - 2:05

76

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On the derivation of $\lim\limits_{n \rightarrow \infty} \left( 1- \left( 1- \frac{c}{n} \right)^{1/2} \right)^{n/2}$

Published on 17 Apr 2026 - 4:23

158

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Proving $3^n < n!$ for some $n\in \mathbb{N}$

Published on 16 Apr 2026 - 11:10

78

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When differentiating an exponential is it better to convert to $e$ form first?

Published on 11 Apr 2026 - 4:09

172

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How to show that $e$ is irrational by studying $\sum^{n}_{k=1}\frac{1}{k!}$ and $\sum^{n}_{k=0}\frac{1}{k} + \frac{1}{n \cdot n!}$?

Published on 15 Apr 2026 - 4:08

72

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Expanding Brackets of polynomials (Simple question)

Published on 11 Apr 2026 - 17:41

1.7k

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Limit as $x$ approaches infinity of a ratio of exponential functions.

Published on 13 Apr 2026 - 4:30

677

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Generalization of $e$'s limit form

Published on 16 Apr 2026 - 1:36

389

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Series expansion for $\exp^{-x}$ for $x \to \infty$

Published on 17 Apr 2026 - 8:14

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population of bacteria after some years

Proof that $x^y + y^x > 1 \ \forall x,y > 0 $

Closed Formula For $\sum_{i =1}^{n}(n-i)\cdot 2^{i-1}$

Find $\lim_\limits{x\to 0} \frac{\sin x}{e^x -1 -\sin x}$

proportional exponential decay formula

Implicit differentiation and exponential

A sequence divisible by 9

On the derivation of $\lim\limits_{n \rightarrow \infty} \left( 1- \left( 1- \frac{c}{n} \right)^{1/2} \right)^{n/2}$

Proving $3^n < n!$ for some $n\in \mathbb{N}$

When differentiating an exponential is it better to convert to $e$ form first?

How to show that $e$ is irrational by studying $\sum^{n}_{k=1}\frac{1}{k!}$ and $\sum^{n}_{k=0}\frac{1}{k} + \frac{1}{n \cdot n!}$?

Expanding Brackets of polynomials (Simple question)

Limit as $x$ approaches infinity of a ratio of exponential functions.

Generalization of $e$'s limit form

Series expansion for $\exp^{-x}$ for $x \to \infty$

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