lim n→∞0 Use the ratio test to determine whether lim n→∞ diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 27, an+1 an n=27 = lim n→∞0 an+1 an n5" (n + 1)! converges or (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. (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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lim
n→∞0
Use the ratio test to determine whether
lim
n→∞
diverges.
(a) Find the ratio of successive terms. Write your answer as a fully simplified
fraction. For n ≥ 27,
an+1
an
n=27
= lim
n→∞0
n5"
(n + 1)!
converges or
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞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:lim n→∞0 Use the ratio test to determine whether lim n→∞ diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 27, an+1 an n=27 = lim n→∞0 n5" (n + 1)! converges or (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞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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