Apply the ratio test to the following series. an+1 lim n→∞ an 8 a. Compute the ratio and its limit. Simplify the ratio. Give an exact answer for the limit if it is a number Otherwise, enter ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. = lim n→∞ n=1 14" n 181 = b. Based on your answer in Part a., determine whether the series converges, diverges, or that the ratio tes inconclusive.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The blank boxes are: The series converges, the series diverges, the ratio test is inconclusive and 

Greater than 1, less than 1, equal to 1.

Please clearly label answers in response, thanks!

Apply the ratio test to the following series.
an+1
lim
n→∞ an
= lim
n→∞
∞
n=1
a. Compute the ratio and its limit. Simplify the ratio. Give an exact answer for the limit if it is a number.
Otherwise, enter ∞ if the limit is infinite, or enter DNE if the limit does not exist in another
way.
Conclusion: ?
14"
181
J
n
=
b. Based on your answer in Part a., determine whether the series converges, diverges, or that the ratio test is
inconclusive.
because the limit in Part a. is?
Transcribed Image Text:Apply the ratio test to the following series. an+1 lim n→∞ an = lim n→∞ ∞ n=1 a. Compute the ratio and its limit. Simplify the ratio. Give an exact answer for the limit if it is a number. Otherwise, enter ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. Conclusion: ? 14" 181 J n = b. Based on your answer in Part a., determine whether the series converges, diverges, or that the ratio test is inconclusive. because the limit in Part a. is?
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