User:Popcrate

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Taylor Polynomial of Degree n Approximation: f(x) for x near a ^[1]
$f(x)\approx P_{n}(x)=$
$f(a)+f'(a)(x-a)+{\frac {f''(a)}{2!}}(x-a)^{2}+\cdots +{\frac {f^{(n)}(a)}{n!}}(x-a)^{n}$

The Binomial Series
For: $-1<x<1$
$(1+x)^{p}=\left\{1+px+{\frac {p(p-1)}{2!}}\cdot x^{2}+{\frac {p(p-1)(p-2)}{3!}}\cdot x^{3}+\cdots \right\}$