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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 ≥ 29, 5 = lim nx lim n-x an n=29 2 n5n (n + 2)! converges or diverges. (b) Evaluate the limit in the previous part. Enter ∞ as infinity and - as -infinity. If the limit does not exist, enter DNE. an+1 = 0 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges

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 ≥ 29, 5 = lim nx lim n-x an n=29 2 n5n (n + 2)! converges or diverges. (b) Evaluate the limit in the previous part. Enter ∞ as infinity and - as -infinity. If the limit does not exist, enter DNE. an+1 = 0 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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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 ≥ 29, lim N→∞ - n=29 lim n→∞ = n5n (n + 2)! converges or diverges. (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? Converges
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 ≥ 29, lim N→∞ - n=29 lim n→∞ = n5n (n + 2)! converges or diverges. (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? Converges
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