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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