Worksheet 9.1 Sequences & Series: Convergence & Divergence - Witman College Page 2
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12Calculus Maximus
WS 9.1: Seq & Ser: Conv & Div
3. Use the nth Term Divergence Test to determine whether or not the following series converge:
2
3
n
2 !
1 3
n
n
1
n
!
(a)
(b)
(c)
(d)
3
2
2 ! 1
n
10 !
n
4
n
5
n
2
n
n
1
n
1
n
1
n
1
4. (Calculator Permitted)
1
1
(a) What is the sum of
n
1
n
3
n
1
(b) Using your calculator, calculate
S
to verify that the SOPS (sum of the partial sums) is bounded
500
by the sum you found in part (a). (Calculator entry shown at right.)
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