Math 3210-3
HW 24
Due Tuesday, November 27, 2007
Convergence of Infinite Series
1. Find the sum of each series:
∞ n
X
1
(a)
2
n=3
n
∞ X
2
−
(b)
3
n=1
(c)
∞
X
1
n(n
+
1)(n
+ 2)
n=1
∞
X
1
√
√ converges. Justify your answer.
n+1+ n
n=1
P
P
3. Prove that if
|an | converges and (bn ) is a bounded sequence, then
an bn converges.
2. Determine whether or not the series