# How do you find the maclaurin series expansion of #f(x) =sin(3x)#?

##### 1 Answer

Jul 31, 2017

#### Explanation:

First off the Maclaurin series is a special case of the Taylor series where

So a Maclaurin series would be of the form

Since

So that means we'll have a series like this

and since the derivatives alternate between positive and negative

Also since we are finding the maclaurin series for