Consider the following series n2 + 5 Which of the following statements is true? O a. Since lim a, = 0, the series converges by the Divergence Test. n-00 b. This is a geometric series with |r| = 2 > 1, so the series is divergent. c. This is a p-series with p = 2 > 1, so the series is divergent. O d. This is a p-series with p = 2 > 1, so the series is convergent. O e. None of the above.
Consider the following series n2 + 5 Which of the following statements is true? O a. Since lim a, = 0, the series converges by the Divergence Test. n-00 b. This is a geometric series with |r| = 2 > 1, so the series is divergent. c. This is a p-series with p = 2 > 1, so the series is divergent. O d. This is a p-series with p = 2 > 1, so the series is convergent. O e. None of the above.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![Consider the following series
1
n2 + 5
n=1
Which of the following statements is true?
a. Since lim a, = 0, the series converges by the Divergence Test.
%3D
b. This is a geometric series with |r| = 2 > 1, so the series is divergent.
%3D
This is a p-series with p = 2 > 1, so the series is divergent.
d. This is a p-series with p = 2 > 1, so the series is convergent.
e. None of the above.
8.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73102c60-1498-4636-80ef-4cdd7b0f71d1%2F04090215-537c-40b8-8798-3ca847550f92%2F81wwdc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following series
1
n2 + 5
n=1
Which of the following statements is true?
a. Since lim a, = 0, the series converges by the Divergence Test.
%3D
b. This is a geometric series with |r| = 2 > 1, so the series is divergent.
%3D
This is a p-series with p = 2 > 1, so the series is divergent.
d. This is a p-series with p = 2 > 1, so the series is convergent.
e. None of the above.
8.
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