Use the ratio test to determine whether n8n n=22 (+2)! (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 22, an+1 lim 84x an converges or diverges. = lim 84x lim 84x an (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as-infinity. If the limit does not exist, enter DNE. an+1 (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
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Use the ratio test to determine whether
n8n
(n + 2)!
n=22
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 22,
an+1
lim
n-x an
= lim
n→∞
lim
n→∞ an
converges or diverges.
(b) Evaluate the limit in the previous part. Enter ∞o as infinity and -∞ as -infinity. If the limit does not exist, enter DNE.
an+1
(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 n8n (n + 2)! n=22 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 22, an+1 lim n-x an = lim n→∞ lim n→∞ an converges or diverges. (b) Evaluate the limit in the previous part. Enter ∞o as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. an+1 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
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