3 Convergence of infinite sums

In this chapter, we investigate which infinite sums, as opposed to sequences,

converge. We would like to say 1 +

1

2

+

1

4

+

1

8

+

···

= 2, while 1 + 1 + 1 + 1 +

does not converge. The majority of the chapter is coming up with different tests

to figure out if infinite sums converge.