Worksheet 9.1 Sequences & Series: Convergence & Divergence - Witman College Page 10

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Calculus Maximus
WS 9.1: Seq & Ser: Conv & Div
22. If the series
a
is conditionally convergent, determine which of the following series must diverge
n
n
1
Justify each answer as to why or why not.
 
2
n
2
(a)
a
(b)
a
(c)
1
a
(d)
a
n
n
n
n
n
1
n
1
n
1
n
1
23. Classify any of the following convergent series as absolutely or conditionally convergent.
  
 
n
n
n
1
n
1
1
n
ln
n
 
 
n
n
n
(a)
(b)
1
e
(c)
1
(d)
(e)
n
e
n
3
n n
n
2
n
1
n
0
n
1
n
1
Page 10 of 12

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