Approximation of Cube Root

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Approximation of Cube Root

## Formula

For:

$$|x|\ll1$$

$$(1+x)^{1/3}\approx1+\frac x3-\frac{x^2}{9}$$

For first-order approximation:

$$(1+x)^{1/3}\approx1+\frac x3$$

## Usage

- Used to approximate cube roots of quantities close to $1$.

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