8.3 #14, 15, 16
8.4 #2, 4, 8, 10, 12
It might not be immediately obvious because the wording is a little different, but the exercises from 8.4 are similar to the examples we saw in class today. If it’s not clear what a “closed form” means, you can check the answers in the back of the book for the corresponding odd-numbered problems to see what form the answers are in. You’ll probably find the table on page 542 will be useful. We discussed the entries in rows 4 and 5 of that table in detail today; the entries in the next few rows are modifications of those.
Just a reminder: while formal power series are not polynomials, you can manipulate them in much the same way you would polynomials. For example, to add two power series, you add like terms; to multiply power series, you distribute terms. This is all that Theorem 1 on page 538 is saying.