Determine whether the following series converges k 0 Let a 20 represent the magnitude of the terms of the given series. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The series converges because a and for any index N, there are some values of k > N for which a12 a and some values of k > N for which a a O B. The series diverges because a is nonincreasing in magnitude for k greater than some index N and lim a k-oo O C. The series converges because a and for any index N, there are some values of k > N for which a a and some values of k N for which a1 a O D. The series diverges because a = and for any index N, there are some values of k > N for which a12 a and some values of k> N for which a1 sa O E. The series diverges because a is nondecreasing in magnitude for k greater than some index N. O F. The series converges because a= is nonincreasing in magnitude for k greater than some index N and lim a = kco
Determine whether the following series converges k 0 Let a 20 represent the magnitude of the terms of the given series. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The series converges because a and for any index N, there are some values of k > N for which a12 a and some values of k > N for which a a O B. The series diverges because a is nonincreasing in magnitude for k greater than some index N and lim a k-oo O C. The series converges because a and for any index N, there are some values of k > N for which a a and some values of k N for which a1 a O D. The series diverges because a = and for any index N, there are some values of k > N for which a12 a and some values of k> N for which a1 sa O E. The series diverges because a is nondecreasing in magnitude for k greater than some index N. O F. The series converges because a= is nonincreasing in magnitude for k greater than some index N and lim a = kco
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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Please be specific. Convergent but A? C? F?

Transcribed Image Text:Determine whether the following series converges
k 0
Let a 20 represent the magnitude of the terms of the given series. Select the correct choice below and fill in the answer box(es) to complete your choice.
O A. The series converges because a
and for any index N, there are some values of k > N for which a12 a and some values of k > N for which a
a
O B. The series diverges because a
is nonincreasing in magnitude for k greater than some index N and lim a
k-oo
O C. The series converges because a
and for any index N, there are some values of k > N for which a
a and some values of k N for which a1 a
O D. The series diverges because a =
and for any index N, there are some values of k > N for which a12 a and some values of k> N for which a1 sa
O E. The series diverges because a is nondecreasing in magnitude for k greater than some index N.
O F. The series converges because a=
is nonincreasing in magnitude for k greater than some index N and lim a =
kco
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