Chapter 1.13, Problem 5P

Using the methods of this section:

1. Find the first few terms of the Maclaurin series for each of the following functions.
2. Find the general term and write the series in summation form.
3. Check your results in (a) by computer.
4. Use a computer to plot the function and several approximating partial sums of the series.

$x^{2}1n(1-x)$