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

Rarely Tested

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

## Formula

For:

$$|x|<1$$

$$(1+x)^{-1/2}=1-\frac x2+\frac{3x^2}{8}-\frac{5x^3}{16}+\frac{35x^4}{128}-\cdots$$

## Usage

- Used for approximation and series expansion involving reciprocal square roots.

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