E (Series Definition)

Colorized Definition

number_e

\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/)

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