Math — Taylor & Maclaurin Series
General Taylor series plus exponential, sine and geometric series.
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f(x) = \sum_{n=0}^{\infty}\frac{f^{(n)}(a)}{n!}(x-a)^n
e^x = \sum_{n=0}^{\infty}\frac{x^n}{n!}
\sin x = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \cdots
\frac{1}{1-x} = \sum_{n=0}^{\infty}x^n, \quad |x| < 1