New posts in exponential-function

The area bounded by the tangential lines to an even-power exponential function

calculus exponential-function area tangent-line

e is irrational

real-analysis calculus exponential-function irrational-numbers transcendental-numbers

Peculiar locations of the root and the maximum of $(x+1)^{x+1}-x^{x+2}$

functions exponential-function pi

A closed form for $\int_0^\infty\left(\frac{2^{-x}-3^{-x}}x\right)^adx,\ a\notin\mathbb{Z}^+$

calculus integration definite-integrals exponential-function closed-form

How can one find the zeroes of $f(x)=ae^{bx}+cx+d$?

exponential-function roots recreational-mathematics lambert-w

Prove limit converges in definition of $e.$

exponential-function binomial-theorem limits-without-lhopital

Absolute value of complex exponential

complex-numbers exponential-function

Is $e$ a coincidence?

limits derivatives exponential-function

Showing that $\lim_{n \rightarrow \infty} \left( 1 + \frac{r}{n} \right)^{n} = e^{r} $. [duplicate]

real-analysis calculus limits exponential-function

Is the Fibonacci sequence exponential?

exponential-function fibonacci-numbers

Approximation of $e$ using $\pi$ and $\phi$?

elementary-number-theory exponential-function recreational-mathematics approximation pi

"What if" math joke: the derivative of $\ln(x)^e$

calculus derivatives logarithms exponential-function popular-math

How do I find this limit: $\lim_{n\to\infty} \left[ n-{n\over e}\left(1+{1\over n}\right)^n \right]$?

calculus limits exponential-function

Prove that the limit definition of the exponential function implies its infinite series definition.

real-analysis sequences-and-series limits exponential-function

If there are entire $G_k$s such that $f=\exp\circ\exp\circ\cdots \circ\exp\circ G_k$ ($k$ times), must $f$ be constant?

complex-analysis logarithms exponential-function

Unifying the connections between the trigonometric and hyperbolic functions

calculus trigonometry exponential-function hyperbolic-functions

Is this formula for $\frac{e^2-3}{e^2+1}$ known? How to prove it?

sequences-and-series exponential-function irrational-numbers continued-fractions

Why does $\lim_{n\to\infty}(1+\frac{1}{n})^n = e$ instead of $1$? [duplicate]

calculus sequences-and-series limits exponential-function

Do the polynomials $(1+z/n)^n$ converge compactly to $e^z$ on $\mathbb{C}$?

complex-analysis complex-numbers exponential-function uniform-convergence

Proving that $\frac{e^x + e^{-x}}2 \le e^{x^2/2}$

calculus inequality taylor-expansion exponential-function