Maclaurin Series xsin x

The xsin x series is the most easiest to derive. You start with the series expansion of sin x as shown in the Maclaurin series for sin x article.

To get the Maclaurin series for xsin x, all you have to do is to multiply the series with x throughout, as indicated by the formula above.

This is a very nice and easy one for beginner students. What you learn here is that it is possible to take an existing series and manipulate it algebraically.