New posts in exponential-function

Show $\lim_{h\to 0} \frac{(a^h-1)}{h}$ exists without l'Hôpital or even referencing $e$ or natural log

calculus limits exponential-function education limits-without-lhopital

Why $\lim\limits_{n\to \infty}\left(1+\frac{1}{n}\right)^n$ doesn't evaluate to 1?

calculus sequences-and-series limits exponential-function definition

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

complex-analysis complex-numbers logarithms exponential-function exponentiation

What's so "natural" about the base of natural logarithms?

calculus logarithms exponential-function

If $a+b=1$ then $a^{4b^2}+b^{4a^2}\leq1$

calculus multivariable-calculus inequality exponential-function

Limit as $x\to 0$ of $\frac{(1+x)^{1/x}-e}{x}$

calculus limits exponential-function

Limit of $x\left(\left(1 + \frac{1}{x}\right)^x - e\right)$ when $x\to\infty$

real-analysis limits analysis exponential-function

Proving that $\lim\limits_{x \to 0}\frac{e^x-1}{x} = 1$

limits derivatives exponential-function

Alternative definition of hyperbolic cosine without relying on exponential function

trigonometry definition exponential-function hyperbolic-functions

What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?

calculus real-analysis sequences-and-series exponential-function factorial

Intuitive Understanding of the constant "$e$"

exponential-function intuition big-list constants

Do factorials really grow faster than exponential functions? [closed]

factorial exponential-function

Why is it hard to prove whether $\pi+e$ is an irrational number?

number-theory soft-question exponential-function pi rationality-testing

The math behind Warren Buffett's famous rule – never lose money

exponential-function finance average

Are the any non-trivial functions where $f(x)=f'(x)$ not of the form $Ae^x$

calculus ordinary-differential-equations derivatives exponential-function

Show that $e^{x+y}=e^xe^y$ using $e^x=\lim_{n\to\infty }\left(1+\frac{x}{n}\right)^n$.

real-analysis exponential-function

Basic exponential regression

statistics exponential-function regression linear-regression

How does $e^{i x}$ produce rotation around the imaginary unit circle?

complex-numbers exponential-function

Simplest or nicest proof that $1+x \le e^x$

inequality exponential-function big-list

Prove that $C\exp(x)$ is the only set of functions for which $f(x) = f'(x)$

calculus ordinary-differential-equations derivatives exponential-function