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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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