New posts in Exponential Function

How do I prove $\exp(1)=e$ if $\exp$ is defined in a series expansion?

Unifying the connections between the trigonometric and hyperbolic functions

Connecting the two definitions of $e$

Formalizing composition of sequences

How do we show $1-\cos x\ge\frac{x^2}3$ for $|x|\le1$?

How to find asymptotic expansion of $\frac{1}{\cos(z)}$

Inverse of a exponential function

Show that $\lim_{n \to \infty} \left(1+\frac{a_n}{n}\right)^n= e^a$ when $a_n \to a$

Elementary Ways to Solve System of Exponential Equation

Does the complex exponential function $\exp(z)$ have an axiomatic definition?