Chapter 7: Q. 9 (page 655)
Give precise mathematical definitions or descriptions of each of the concepts that follow. Then illustrate the definition or description with a graph or an algebraic example.
The sum of a convergent series
Short Answer
A series converges if its sequence of partial sums converges, and in that case, we define the sum of the series to be the limit of its partial sums. For example, is the series which converges.