For each series, use the indicated test to determine whether the series. or divergent. a. ΣX=2 (use the integral test) 1 k lnk b. Σ=1(−1) -1, 1 k 2k (use the root test)

Calculus: Early Transcendentals
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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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For each series, use the indicated test to determine whether the series is convergent
or divergent.
L₁= 2
(use the integral test)
a.
k lnk
b. Σ-1(-1)k-1-1
1!
k 2k
c. 1+ ²+²+₁+....
2!
3!
d. Σ =1
(use the root test)
k²-5k
k³+k+1
(use the ratio test)
(use limit comparison test)
Transcribed Image Text:For each series, use the indicated test to determine whether the series is convergent or divergent. L₁= 2 (use the integral test) a. k lnk b. Σ-1(-1)k-1-1 1! k 2k c. 1+ ²+²+₁+.... 2! 3! d. Σ =1 (use the root test) k²-5k k³+k+1 (use the ratio test) (use limit comparison test)
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