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Consider the following function. 4 cos(TX) f(x) = vx 4 cos(πn) What conclusions can be made about the series and the Integral Test? n n = 1 The Integral Test can be used to determine whether the series is convergent since the function is positive and decreasing on [1, ∞). The Integral Test can be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, ∞). The Integral Test can be used to determine whether the series is convergent since it does not matter if the function is positive or decreasing on [1, ∞). The Integral Test cannot be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, ∞). There is not enough information to determine whether or not the Integral Test can be used or not.

Consider the following function. 4 cos(TX) f(x) = vx 4 cos(πn) What conclusions can be made about the series and the Integral Test? n n = 1 The Integral Test can be used to determine whether the series is convergent since the function is positive and decreasing on [1, ∞). The Integral Test can be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, ∞). The Integral Test can be used to determine whether the series is convergent since it does not matter if the function is positive or decreasing on [1, ∞). The Integral Test cannot be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, ∞). There is not enough information to determine whether or not the Integral Test can be used or not.

Calculus: Early Transcendentals
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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Consider the following function. 4 cos(TX) f(x) = vx 4 cos(πn) What conclusions can be made about the series and the Integral Test? n n = 1 The Integral Test can be used to determine whether the series is convergent since the function is positive and decreasing on [1, ∞). The Integral Test can be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, ∞). The Integral Test can be used to determine whether the series is convergent since it does not matter if the function is positive or decreasing on [1, ∞). The Integral Test cannot be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, ∞). There is not enough information to determine whether or not the Integral Test can be used or not.
Transcribed Image Text:Consider the following function. 4 cos(TX) f(x) = vx 4 cos(πn) What conclusions can be made about the series and the Integral Test? n n = 1 The Integral Test can be used to determine whether the series is convergent since the function is positive and decreasing on [1, ∞). The Integral Test can be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, ∞). The Integral Test can be used to determine whether the series is convergent since it does not matter if the function is positive or decreasing on [1, ∞). The Integral Test cannot be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, ∞). There is not enough information to determine whether or not the Integral Test can be used or not.
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