Homework Help is Here – Start Your Trial Now!
Math
Calculus
Determine whether the following series converges. Justify your answer. 80 Σ 1+ k=1 1 14k k (... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) OA. The limit of the terms of the series does not exist, so the series diverges by the Divergence Test. OB. The series is a geometric series with common ratio This is less than 1, so the series converges by the properties of a geometric series. OC. The limit of the terms of the series is so the series diverges by the Divergence Test. OD. The series is a geometric series with common ratio This is greater than 1, so the series diverges by the properties of a geometric series. O E. The limit of the terms of the series is 0, so the series converges by the Divergence Test.

Determine whether the following series converges. Justify your answer. 80 Σ 1+ k=1 1 14k k (... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) OA. The limit of the terms of the series does not exist, so the series diverges by the Divergence Test. OB. The series is a geometric series with common ratio This is less than 1, so the series converges by the properties of a geometric series. OC. The limit of the terms of the series is so the series diverges by the Divergence Test. OD. The series is a geometric series with common ratio This is greater than 1, so the series diverges by the properties of a geometric series. O E. The limit of the terms of the series is 0, so the series converges by the Divergence Test.

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...
See similar textbooks
icon
Related questions
Question
Please help asap
Determine whether the following series converges. Justify your answer. 8 k=1 1 14k k (.... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) OA. The limit of the terms of the series does not exist, so the series diverges by the Divergence Test. OB. The series is a geometric series with common ratio This is less than 1, so the series converges by the properties of a geometric series. OC. The limit of the terms of the series is so the series diverges by the Divergence Test. This is greater than 1, so the series diverges by the properties of a geometric series. OD. The series is a geometric series with common ratio O E. The limit of the terms of the series is 0, so the series converges by the Divergence Test.
Transcribed Image Text:Determine whether the following series converges. Justify your answer. 8 k=1 1 14k k (.... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) OA. The limit of the terms of the series does not exist, so the series diverges by the Divergence Test. OB. The series is a geometric series with common ratio This is less than 1, so the series converges by the properties of a geometric series. OC. The limit of the terms of the series is so the series diverges by the Divergence Test. This is greater than 1, so the series diverges by the properties of a geometric series. OD. The series is a geometric series with common ratio O E. The limit of the terms of the series is 0, so the series converges by the Divergence Test.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS