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Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 21, lim n→∞0 an n=21 lim n→∞ = n² 9 9n 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

Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 21, lim n→∞0 an n=21 lim n→∞ = n² 9 9n 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

Advanced Engineering Mathematics
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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Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 21, lim n→∞0 an n=21 lim n→∞ = n² 9 9n 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 an+1 lim n→∞ an (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 21, lim n→∞0 an n=21 lim n→∞ = n² 9 9n 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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