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Use the limit comparison test to determine whether 6n + 4 an = n=4 4n° + 2n² + 9 converges or diverges. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. For (a) Choose a series > br with terms of the form b, = n=4 n 4, an lim n0o bn = lim n00 4n° + 2n +9 (b) Evaluate the limit in the previous part. Enter oo as infinity and –∞ as -infinity. If the limit does not exist, enter DNE. -0- an lim n00 bn (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges Hint: IM:

Use the limit comparison test to determine whether 6n + 4 an = n=4 4n° + 2n² + 9 converges or diverges. 1 and apply the limit comparison test. Write your answer as a fully simplified fraction. For (a) Choose a series > br with terms of the form b, = n=4 n 4, an lim n0o bn = lim n00 4n° + 2n +9 (b) Evaluate the limit in the previous part. Enter oo as infinity and –∞ as -infinity. If the limit does not exist, enter DNE. -0- an lim n00 bn (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges Hint: IM:

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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00 Use the limit comparison test to determine whether 6n + 4 an = 4n° + 2n2 + 9 converges or diverges. n=4 n=4 (a) Choose a series b, with terms of the form b, and apply the limit comparison test. Write your answer as a fully simplified fraction. For n=4 n> 4, an lim n00 b. lim 4n° + 2n2 + 9 (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -o as -infinity. If the limit does not exist, enter DNE. lim an (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges Hint:
Transcribed Image Text:00 Use the limit comparison test to determine whether 6n + 4 an = 4n° + 2n2 + 9 converges or diverges. n=4 n=4 (a) Choose a series b, with terms of the form b, and apply the limit comparison test. Write your answer as a fully simplified fraction. For n=4 n> 4, an lim n00 b. lim 4n° + 2n2 + 9 (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -o as -infinity. If the limit does not exist, enter DNE. lim an (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? Converges Hint:
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