Worksheet 9.1 Sequences & Series: Convergence & Divergence - Witman College Page 11
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12Calculus Maximus
WS 9.1: Seq & Ser: Conv & Div
Multiple Choice:
4
24.
S is used to approximate
S
. Which interval gives an upper and lower bound for this sum?
2
2
n
n
1
41
49
53
58
49
53
58
62
(A)
S
(B)
S
(C)
S
(D)
S
(E) Diverges
9
9
9
9
9
9
9
9
25. Which of the following series converge?
cos
n
n
1
I.
II.
III.
n
2
n
n
n
1
n
1
n
1
(A) None
(B) II only
(C) III only
(D) I and II only
(E) I and III only
b
dx
26. If
lim
is finite, then which of the following must be true?
p
b
x
1
1
1
1
(A)
converges
(B)
diverges
(C)
converges
p
p
p
2
n
n
n
1
n
1
n
n
1
1
1
(D)
converges
(E)
diverges
p
1
p
1
n
n
n
1
n
1
Page 11 of 12
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