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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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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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