E (Mathematical Constant 2)

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}}

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

\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 (opens new window)
• Common Definitions of e (Colorized) (opens new window)