# E (Series Definition)

## Colorized Definition

\newcommand{\growth}{\color{c1}}
\newcommand{\unitQuantity}{\color{c2}}
\newcommand{\unitInterest}{\color{c3}}
\newcommand{\secondInterest}{\color{c4}}
\newcommand{\thirdInterest}{\color{c5}}
\newcommand{\restInterest}{\color{c6}}

$\displaystyle{ \growth e \plain = \unitQuantity {1} \plain + \unitInterest {1 \over 1!} \plain + \secondInterest {1 \over 2!} \plain + \thirdInterest {1 \over 3!} \plain + \restInterest \cdots }$

\growth       The base for continuous growth
\plain        is
\
\unitQuantity the unit quantity
\unitInterest earning unit interest
\
\plain        plus
\secondInterest the interest on the interest
\
\plain        plus
\thirdInterest the interest on the interest on the interest
\plain        and
\restInterest so on

## Read More - [An Intuitive Guide To Exponential Functions & e](https://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/) - [Common Definitions of e (Colorized)](https://betterexplained.com/articles/definitions-of-e-colorized/)