Worksheet 9.1 Sequences & Series: Convergence & Divergence - Witman College Page 9
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12Calculus Maximus
WS 9.1: Seq & Ser: Conv & Div
20. What is the sum of the following:
n
3
3
1
1
3
(a)
(b)
(c)
(d)
n
2
n
1
n
3
(2
n
1)(2
n
1)
2
n
0
n
1
n
1
n
2
n
1
21. (Calculator Permitted) Consider the series
n
2
n
1
(a) Show that the series is absolutely convergent.
(b) Calculate
S , the sum of the first six terms. Round your answer to three decimal places.
6
(c) Find the number of terms necessary to approximate the sum of the series with an error less than
0.001
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