List questions from exponential-function

Published on 27 Mar 2026 - 10:09

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Continuous exponential functions

Published on 08 Apr 2014 - 20:05

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Expressing the sine function in terms of exponential

Published on 09 Apr 2014 - 4:19

198

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Prove that $e^x \gt 0$ for $x \in \mathbb{R}$

Published on 09 Apr 2014 - 14:24

137

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Can I have an exponential function such that if x = infinity, y = 100?

Published on 09 Apr 2014 - 14:44

329

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Show that $\lim\limits_{n \to \infty} \sup\limits_{k \geq n} \left(\frac{1+a_{k+1}}{a_k}\right)^k \ge e$ for any positive sequence $\{a_n\}$

Published on 10 Apr 2014 - 8:13

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Prove that $f(x)=(e^x-1)(x^2+3x-2)+x$ has exactly one positive root, exactly one negative root and one root at $x=0$.

Published on 10 Apr 2014 - 11:46

281

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Programming Help - Solving for e(n)

Published on 29 Mar 2026 - 14:17

737

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Lie group - exponential Diffeomorphism

Published on 01 Apr 2026 - 12:33

2.5k

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Proof of simple interest formula

Published on 11 Apr 2014 - 15:52

49

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Find the inverse of the function

Published on 29 Mar 2026 - 5:42

1.8k

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Proof that $b^{\log_b(x)} = x$

Published on 12 Apr 2014 - 14:36

104

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division by sum of exponentials of large negative numbers

Published on 28 Mar 2026 - 22:13

2k

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What is the 'growth constant'?

Published on 27 Mar 2026 - 23:01

4.8k

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Limit of a rational function to the power of x

Published on 14 Apr 2014 - 23:04

List Question

Laurent Series and Taylor Expansion of $ 1 / (e^z - 1) $

Continuous exponential functions

Expressing the sine function in terms of exponential

Prove that $e^x \gt 0$ for $x \in \mathbb{R}$

Can I have an exponential function such that if x = infinity, y = 100?

Show that $\lim\limits_{n \to \infty} \sup\limits_{k \geq n} \left(\frac{1+a_{k+1}}{a_k}\right)^k \ge e$ for any positive sequence $\{a_n\}$

Prove that $f(x)=(e^x-1)(x^2+3x-2)+x$ has exactly one positive root, exactly one negative root and one root at $x=0$.

Programming Help - Solving for e(n)

Lie group - exponential Diffeomorphism

Proof of simple interest formula

Find the inverse of the function

Proof that $b^{\log_b(x)} = x$

division by sum of exponentials of large negative numbers

What is the 'growth constant'?

Limit of a rational function to the power of x

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