Expansion of $$(1+x)^{1/2}$$

Rarely Tested

Expansion of $$(1+x)^{1/2}$$

## Formula

For:

$$|x|<1$$

$$(1+x)^{1/2}=1+\frac x2-\frac{x^2}{8}+\frac{x^3}{16}-\frac{5x^4}{128}+\cdots$$

## Usage

- Used for approximation and expansion problems involving square roots.

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