Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 16, n=16 = lim n→∞ lim n→∞ an gn (9n)² converges or diverges. (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. an+1 = dne (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Diverges

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 4E
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Question
gn
(9n)²
n=16
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 16,
Use the ratio test to determine whether
an+1
lim
n→∞ an
lim
n→∞
=
lim
n→∞
converges or diverges.
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE.
an+1
= dne
an
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Diverges
Transcribed Image Text:gn (9n)² n=16 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 16, Use the ratio test to determine whether an+1 lim n→∞ an lim n→∞ = lim n→∞ converges or diverges. (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. an+1 = dne an (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Diverges
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