# use linear approximation to estimate the number \frac{1}{4.002}

## Question:

use linear approximation to estimate the number {eq}\frac{1}{4.002} {/eq}

## Using The Linear Approximation:

We use the linear approximation of the function {eq}f(x) {/eq} at a point {eq}x_0 {/eq}

to estimate the values of the function around this point.

The linear approximation is found arresting the Taylor series of the function at the first order term

{eq}L(x) =f(x_0) + f'(x_0) (x-x_0) {/eq}

In order to approximate the number

{eq}\displaystyle \frac{1}{4.002} {/eq}

we exploit the linear approximation of the function

{eq}\displaystyle...

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