New posts in exponential-function

How can one prove the impossibility of writing $ \int e^{x^{2}} \, \mathrm{d}{x} $ in terms of elementary functions?

integration exponential-function indefinite-integrals elementary-functions

How to verify if a curve is exponential by eyeballing?

exponential-function graphing-functions estimation

Solution to the functional equation $f(x^y)=f(x)^{f(y)}$

exponential-function exponentiation functional-equations

Can hyperbolic functions be defined in terms of trigonometric functions?

trigonometry exponential-function hyperbolic-functions

$\pi^4 + \pi^5 \approx e^6$ is anything special going on here?

exponential-function approximation pi constants diophantine-approximation

Prove $|e^{i\theta} -1| \leq |\theta|$

calculus real-analysis inequality complex-numbers exponential-function

Why does $e$ have multiple definitions?

definition exponential-function

Inequality $(1+\frac1k)^k \leq 3$

calculus limits inequality exponential-function

Why does integrating a complex exponential give the delta function?

improper-integrals exponential-function dirac-delta

Why don't I get $e$ when I solve $\lim_{n\to \infty}(1 + \frac{1}{n})^n$? [duplicate]

calculus limits exponential-function indeterminate-forms

How to prove $\lim\limits_{n \to \infty} (1+\frac1n)^n = e$?

calculus real-analysis limits exponential-function

Matrix exponential for Jordan canonical form

linear-algebra matrices exponential-function matrix-calculus jordan-normal-form

Confused about complex numbers

complex-numbers exponential-function exponentiation

Limit with a big exponentiation tower

calculus limits exponential-function

Proving $\lim \limits_{n\to +\infty } \left(1+\frac{x}{n}\right)^n=\text{e}^x$.

calculus analysis limits exponential-function

Proving that the matrix exponential map is surjective onto the general linear group

linear-algebra group-theory exponential-function

Why isn't $\lim \limits_{x\to\infty}\left(1+\frac{1}{x}\right)^{x}$ equal to $1$?

limits exponential-function

What combinatorial quantity the tetration of two natural numbers represents?

combinatorics arithmetic exponential-function tetration hyperoperation

Solving this inequality: $e^x \geq x^e$

inequality exponential-function exponentiation eulers-number-e

How do I interpret Euler's formula? [duplicate]

trigonometry complex-numbers exponential-function definition