Determine the sum of various infinite series and investigate how to tell if a series will converge.

Find the sums in each of the following series:
1/2 + 2/4 + 3/8 + 4/16 + 5/32 + . . .
1/2 + 3/4 + 5/8 + 7/16 + 9/32 + . . .
1/1 + 1/2 + 1/3 + 1/4 + 1/5 + . . .
Explain how you found your answers.