# How do you write the first four nonzero terms of the taylor series for #ln(1+x^2) #about x=0?

##### 1 Answer

Aug 10, 2015

#### Explanation:

First note:

We can break down the taylor series for this as follows using the well known series (about

=>

=>

We can then integrate this term by term to obtain the required Taylor series:

This approach allows us to skip a lot of tedious steps when determining the series term by term.