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@kazad
Created December 13, 2017 18:11
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\newcommand{\growth}{\color{c1}}
\newcommand{\unitQuantity}{\color{c2}}
\newcommand{\unitInterest}{\color{c3}}
\newcommand{\unitTime}{\color{c4}}
\newcommand{\perfectly}{\color{c5}}
\newcommand{\compounded}{\color{c6}}
$$\growth e
\plain =
\perfectly \lim_{n\to\infty}
\plain \left(
\unitQuantity 1 + \unitInterest \frac{1}{\compounded n}
\plain \right)
\unitTime^{1 \cdot \compounded n}
$$
\growth The base for continuous growth
\plain is
\\
\unitQuantity the unit quantity
\unitInterest earning unit interest
\unitTime for unit time,
\\
\compounded compounded
\perfectly as fast as possible
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