Standard Binomial Expansion

Rarely Tested

Standard Binomial Expansion

For a real number $$\alpha$$:

$$(1+x)^\alpha=\sum_{n=0}^{\infty}\binom{\alpha}{n}x^n$$

where:

$$\binom{\alpha}{n}=\frac{\alpha(\alpha-1)\cdots(\alpha-n+1)}{n!}$$

Usage

- Used for approximating powers of expressions close to one.

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