How to define the exponential function without calculus?
116730
An "elementary" approach to complex exponents?
18931
Is there really no way to integrate $e^{-x^2}$?
23522
Exponential integral $ \int_0^\infty \frac{x^t}{\Gamma(t+1)}\text dt$
77069
Reliability function, proving exponential distribution
92197
Calculating Non-Integer Exponent
21923
Prove that $\exp(x)>0$ using only formal definition of exp
156448
Evaluate the limit without using the L'Hôpital's rule
85311
Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator
68319
How can I evaluate $\int_{-\infty}^{\infty} e^{-x^2} dx$ without using polar coordinates
57167
A hard problem on exponential integration
121197
Eigenvalues and eigenfunctions of the exponential potential $ V(x)=\exp(|x|) $
65213
How to find $\lim\limits_{x\to0}\frac{e^x-1-x}{x^2}$ without using l'Hopital's rule nor any series expansion?
123940
How can one prove the impossibility of writing $ \int e^{x^{2}} \, \mathrm{d}{x} $ in terms of elementary functions?
69121
Fastest way to calculate $e^x$ up to arbitrary number of decimals?
102738
Show that $e^n>\frac{(n+1)^n}{n!}$ without using induction.
64708
Proof that exponential function's limit definition increases monotonically?
153557
What is exponential entropy?