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Calculus II Quiz
#7 April
29, 2005
Name_________________ R. Hammack Score
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Decide if the following series converge or diverge. In the case of convergence
state the sum, if possible.
(1) (-)
=
= (-)
= 3-0 = 3
Note, this is a telescoping series, since:
=
(-)
+ (-)
+ (-)
+ (-)
+...+ (-)
= -
(2)
++++++
...
Geometric series with a =and
r =<
1.
CONVERGES to ===
(3)
++++++
... = 5(++++++
...)
Harmonic series with first 6 terms deleted. DIVERGES
(4)
++++++
...
P-series with p = 4 > 1. CONVERGES
(5)
++++++
...
P-series with p = 1/2 < 1. DIVERGES