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)
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Author:Robert F. Blitzer
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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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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.
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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