00 4" Use the ratio test to determine whether > converges or diverges. (2n)! n=7 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 7, an+1 lim lim n→00 an n→00 (b) Evaluate the limit in the previous part. Enter o as infinity and -o as -infinity. If the limit does not exist, enter DNE. an+1 lim an n→∞ (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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Question
4"
Use the ratio test to determine whether
converges or diverges.
(2n)!
n=7
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For
n > 7,
an+1
lim
lim
n→00
an
(b) Evaluate the limit in the previous part. Enter o as infinity and -o as -infinity. If the limit
does not exist, enter DNE.
аn+1
lim
an
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive?
Choose
Transcribed Image Text:4" Use the ratio test to determine whether converges or diverges. (2n)! n=7 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 7, an+1 lim lim n→00 an (b) Evaluate the limit in the previous part. Enter o as infinity and -o as -infinity. If the limit does not exist, enter DNE. аn+1 lim an (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
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