NAME:
Math 105 - Take-Home Quiz 8 - Due March 24, 2008
Instructions: You may discuss these problems with classmates, tutors, or your professor. Your write-up,
however, must be your own.
Work on other paper will not be accepted. Try the problems on scrap paper, and then put your
final work on this sheet. Your work should be clear, easy to follow, and without cross-outs.
1. (5 pts.) Using a telescoping sum to evaluate the following series exactly:
∞
X
n=1
2
n(n+ 2).
2. (5 pts.) Decide whether the following series converges or diverges:
∞
X
m=3
ln m
m3. State the name of the
test that you use.
