54) Which of the following series converge? n2 + 2 a) Σ п3 — п +5 n2 + 2 b) L n5 -n+5 п5 — п n=1 00 c) E(-1)"+1 sin(-) n. n=1 d) E(-1)"+ cos(-) n=1 e) None of the above. 55) Which of the following series converge? 1 a) Σ n In(n) n=2 1 b) Ln(In(n))² n=2 1 c) E(-1)": n In(n) n=2 d) E-1)" n(In(n))² 1 n=2 e) None of the above.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Solve both 54 and 55 please

54) Which of the following series converge?
n2 + 2
a) E
п3 — п +5
n=1
n2 + 2
b) no – n+ 5
п5 — п
n=1
c) E(-1)"+1 sin(=)
n=1
d) Σ-1)+1 Cos ()
in
n=1
e) None of the above.
55) Which of the following series converge?
1
a) Σ
n In(n)
n=2
1
b)
n(In(n))2
n=2
1
c) E(-1)",
n In(n)
n=2
1
d) E(-1)",
n(In(n))2
n=2
e) None of the above.
8
Transcribed Image Text:54) Which of the following series converge? n2 + 2 a) E п3 — п +5 n=1 n2 + 2 b) no – n+ 5 п5 — п n=1 c) E(-1)"+1 sin(=) n=1 d) Σ-1)+1 Cos () in n=1 e) None of the above. 55) Which of the following series converge? 1 a) Σ n In(n) n=2 1 b) n(In(n))2 n=2 1 c) E(-1)", n In(n) n=2 1 d) E(-1)", n(In(n))2 n=2 e) None of the above. 8
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