Consider the following function. 9 cos(TX) f(x) = 9 cos(an) What conclusions can be made about the series and the Integral Test? O The Integral Test can be used to determine whether the series is convergent since the function is positive and decreasing on [1, o). O The Integral Test can be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, c0). O 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, c0). O The Integral Test cannot be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, c0). O Thore ic not onough information to dotormino whothe Integral Tost can bo used or ne

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...
icon
Related questions
Question
Consider the following function.
9 cos(TX)
f(x) =
9 cos(an) and the Integral Test?
What conclusions can be made about the series
n = 1
O The Integral Test can be used to determine whether the series is convergent since the function is positive and decreasing on [1, 0).
O The Integral Test can be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, 0).
O 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, 0).
O The Integral Test cannot be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, 0).
O 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. 9 cos(TX) f(x) = 9 cos(an) and the Integral Test? What conclusions can be made about the series n = 1 O The Integral Test can be used to determine whether the series is convergent since the function is positive and decreasing on [1, 0). O The Integral Test can be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, 0). O 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, 0). O The Integral Test cannot be used to determine whether the series is convergent since the function is not positive and not decreasing on [1, 0). O There is not enough information to determine whether or not the Integral Test can be used or not.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Power Series
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning