Use the Alternating Series Test to determine whether the series converges. 00 k E (- 1)k+1 7k° + 1 k = 1 Let a represent the magnitude of the terms of the given series and f(x) be the function that generates a. Determine whether the terms of the series are nonincreasing in magnitude. Select the correct choice below and fill in the answer box in your choice. O A. The terms of the series are increasing in magnitude. Since f'(x) = 1 > 0 for x> 51 28 the terms a, increase for k2 1. В. 1 the terms a, decrease for k21. 28 The terms of the series are nonincreasing in magnitude. Since f'(x) = < 0 for x>

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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Use the Alternating Series Test to determine whether the series converges.
00
k
E (- 1)k+1
7k° + 1
k = 1
Let a represent the magnitude of the terms of the given series and f(x) be the function that generates a. Determine whether the terms of the series are nonincreasing
in magnitude.
Select the correct choice below and fill in the answer box in your choice.
O A.
The terms of the series are increasing in magnitude. Since f'(x) =
1
> 0 for x>
51
28
the terms a, increase for k2 1.
В.
1
the terms a, decrease for k21.
28
The terms of the series are nonincreasing in magnitude. Since f'(x) =
< 0 for x>
Transcribed Image Text:Use the Alternating Series Test to determine whether the series converges. 00 k E (- 1)k+1 7k° + 1 k = 1 Let a represent the magnitude of the terms of the given series and f(x) be the function that generates a. Determine whether the terms of the series are nonincreasing in magnitude. Select the correct choice below and fill in the answer box in your choice. O A. The terms of the series are increasing in magnitude. Since f'(x) = 1 > 0 for x> 51 28 the terms a, increase for k2 1. В. 1 the terms a, decrease for k21. 28 The terms of the series are nonincreasing in magnitude. Since f'(x) = < 0 for x>
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