Use the ratio test to determine whether an+1 lim n→∞ an n=16 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 16, = lim n→∞ lim n-x 7n (6n)² converges or diverges. (b) Evaluate the limit in the previous part. Enter co as infinity and -∞o as -infinity. If the limit does not exist, enter DNE. an+1 an (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 48E
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Use the ratio test to determine whether
an+1
lim
n→∞ an
n=16
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 16,
= lim
n→∞
lim
n→∞
7
(6n)²
converges or diverges.
(b) Evaluate the limit in the previous part. Enter co as infinity and -∞o as -infinity. If the limit does not exist, enter DNE.
an+1
an
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
Transcribed Image Text:Use the ratio test to determine whether an+1 lim n→∞ an n=16 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 16, = lim n→∞ lim n→∞ 7 (6n)² converges or diverges. (b) Evaluate the limit in the previous part. Enter co as infinity and -∞o as -infinity. If the limit does not exist, enter DNE. an+1 an (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
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