Exponential Functions

The Exponential Function with Base e

Mathematicians have discovered an important irrational number that occurs in many different places, including when dealing with exponential functions.

The number is referred to by the letter e (for exponential). The value of e is approximately 2.718281... .

Thus, f(x) = e^x is referred to as the natural exponential function and e is referred to as the natural base.

Note:

The number e is an irrational number, like π and This means that the decimal representation of e never terminates and never repeats.