New posts in exponential-function

Prove that $(1+x)^\frac{1}{x}+(1+\frac{1}{x})^x \leq 4$

real-analysis inequality exponential-function maxima-minima jensen-inequality

Solve $2^x=x^2$

algebra-precalculus logarithms exponential-function transcendental-equations

Difference between power law distribution and exponential decay

probability-distributions exponential-function

$\exp(a)+\exp(b)+\exp(c)\leq \exp(1)+\exp(0)+\exp(0)$ when $0\leq a,b,c\leq 1$ and $a+b+c=1$

inequality optimization exponential-function convex-optimization

Is $\exp(x)$ the same as $e^x$?

notation exponential-function exponentiation

Prove that $e^x\ge x+1$ for all real $x$ [duplicate]

analysis inequality exponential-function

Intuitive explanation for why $\left(1-\frac1n\right)^n \to \frac1e$

real-analysis limits exponential-function

Show that $ e^{A+B}=e^A e^B$

linear-algebra sequences-and-series matrices exponential-function

A question comparing $\pi^e$ to $e^\pi$ [duplicate]

inequality exponential-function exponentiation pi

New bound for Am-Gm of 2 variables

real-analysis inequality exponential-function alternative-proof a.m.-g.m.-inequality

Intuitive proofs that $\lim\limits_{n\to\infty}\left(1+\frac xn\right)^n=e^x$

calculus real-analysis exponential-function

Inverse of function given by equation $y = a - b \cdot \text{ln}(1-\frac{x}{c})$

algebra-precalculus exponential-function inverse

From $e^n$ to $e^x$

real-analysis algebra-precalculus functional-analysis exponential-function differential-topology

What are the properties of the roots of the incomplete/finite exponential series?

sequences-and-series complex-analysis taylor-expansion roots exponential-function

Proving $\mathrm e <3$

calculus inequality exponential-function

Why is $e^\pi - \pi$ so close to $20$?

exponential-function approximation pi

Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator

inequality exponential-function exponentiation pi number-comparison

Proof of the derivative of $\ln(x)$

calculus derivatives solution-verification logarithms exponential-function

How to find $\lim\limits_{x\to0}\frac{e^x-1-x}{x^2}$ without using l'Hopital's rule nor any series expansion?

calculus real-analysis limits exponential-function limits-without-lhopital

Proving the irrationality of $e^n$

number-theory exponential-function rationality-testing