2. Determine whether each of the following series is Convergent or Divergent by using the Direct Comparison Test (DCT) or the Limit Comparison Test (LCT). 1 n3 Σ а. е. n2 In n n4 n=1 - 1 n=1 2 b. ) cos (n) f. 3+ n n2 n=1 n=2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Determine whether each of the following series is Convergent or Divergent by using the Direct Comparison
Test (DCT) or the Limit Comparison Test (LCT).
3
n
Σ
Σ
а.
е.
n2 In n
n4
n=1
1
n=1
cos (n)
f. E
n
b. E
3+ n
n2
n=1
n=2
Σνπ
с.
g.
n – 7Yn
n=1
n=1
sin(n) + 2
n4 + 2n – 12
d.
h.
4n
n5 – 3n2 + 7
n=
n=2
Transcribed Image Text:2. Determine whether each of the following series is Convergent or Divergent by using the Direct Comparison Test (DCT) or the Limit Comparison Test (LCT). 3 n Σ Σ а. е. n2 In n n4 n=1 1 n=1 cos (n) f. E n b. E 3+ n n2 n=1 n=2 Σνπ с. g. n – 7Yn n=1 n=1 sin(n) + 2 n4 + 2n – 12 d. h. 4n n5 – 3n2 + 7 n= n=2
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