New posts in exponential-function

What is the function $f(x)=x^x$ called? How do you integrate it?

integration reference-request exponential-function exponentiation

Why is Euler's number used as a base for logarithms? [duplicate]

logarithms exponential-function

Integration of a Exponential Function with a Trigonometric argument

integration trigonometry exponential-function

Summation of an infinite Exponential series

limits summation exponential-function

Function that looks a lot like exponential, but isn't

algebra-precalculus exponential-function

How does $e^{\pi i}$ equal $-1$

complex-numbers exponential-function

Solve $e^x+x=1$

exponential-function

Prove by induction: $n! \ge 2^{(n-1)}$ for any $n \ge 1$ [duplicate]

discrete-mathematics induction exponential-function factorial

Prove $ e^x = \exp(x) $ starting with their limits-based definitions

limits proof-writing exponential-function

Closed semialgebraic subset of $\mathbb{R}^2$

algebraic-geometry solution-verification exponential-function real-algebraic-geometry semialgebraic-geometry

The most complex formula for the golden ratio $\varphi$ that I have ever seen. How was it achieved?

exponential-function pi continued-fractions golden-ratio ramanujan-summation

Is it more accurate to use the term Geometric Growth or Exponential Growth?

terminology exponential-function geometric-progressions

Regarding $e$ in $\lim\limits_{x \to a}{[\phi(x)]^{\psi(x)}} = e^{\lim\limits_{x \to a}{[\phi(x) - 1]\psi(x)}}$

calculus real-analysis limits exponential-function proof-explanation

Euler's identity: why is the $e$ in $e^{ix}$? What if it were some other constant like $2^{ix}$?

complex-numbers intuition exponential-function

How to solve this limit: $\lim\limits_{x \to 0}\left(\frac{(1+2x)^\frac1x}{e^2 +x}\right)^\frac1x$ [closed]

calculus limits exponential-function

Finding limit without using limit

sequences-and-series limits functions exponential-function

Convexity of $x\left(1+\frac1x\right)^x,\ x\ge 0$

calculus real-analysis inequality convex-analysis exponential-function

Conjectural closed form for $\int_0^\infty\sqrt[3]z\ \operatorname{Ei}^2(-z)\,dz$

integration trigonometry special-functions exponential-function closed-form

Is this proof that the derivative of $\ln(x)$ is $1/x$ correct?

calculus limits derivatives logarithms exponential-function

$e^{\left(\pi^{(e^\pi)}\right)}\;$ or $\;\pi^{\left(e^{(\pi^e)}\right)}$. Which one is greater than the other?

real-analysis inequality exponential-function pi