Exponential

The expansion of the exponential of a number $$a$$, $$e^a$$, is the infinite series:

$$e^a = 1+a+\frac{a^2}{2!}+\dots$$,

and also

$$e = \lim_{n->\infty} \left(1+\frac{1}{n}\right)^n$$, and therefore,

$$e^a = \lim_{n->\infty} \left(1+\frac{1}{n}\right)^an$$,

TBC