# What is the linear approximation of #g(x)=sqrt(1+x)^(1/5)# at a =0?

##### 1 Answer

Jan 27, 2015

(I suppose that you mean x=0)

The function, using the power properties, becomes:

To make a linear approximation of this function it is useful to remember the MacLaurin series, that is the Taylor's polinomial centered in zero.

This series, interrupted to the second power, is:

so the **linear** approximation of this function is: