Use the ratio test to determine whether ∑n=19∞n6n(n+2)!∑n=19∞n6n(n+2)! converges or diverges.(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n≥19n≥19, limn→∞∣∣∣an+1an∣∣∣=limn→∞limn→∞|an+1an|=limn→∞ (b) Evaluate the limit in the previous part. Enter ∞∞ as infinity and −∞−∞ as -infinity. If the limit does not exist, enter DNE.limn→∞∣∣∣an+1an∣∣∣limn→∞|an+1an| = (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? n6"Use the ratio test to determine whetherconverges or diverges.(n + 2)!n=19(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 19,an+1limlimn00ann00(b) Evaluate the limit in the previous part. Enter oo as infinity and0o as -infinity. If the limit does not exist, enter DNE.An+1lim=n 00an(C) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

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Answered: n6" Use the ratio test to determine…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 3TU

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Use the ratio test to determine whether ∑n=19∞n6n(n+2)!∑n=19∞n6n(n+2)! converges or diverges.

(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n≥19n≥19,

limn→∞∣∣∣an+1an∣∣∣=limn→∞limn→∞|an+1an|=limn→∞

(b) Evaluate the limit in the previous part. Enter ∞∞ as infinity and −∞−∞ as -infinity. If the limit does not exist, enter DNE.
limn→∞∣∣∣an+1an∣∣∣limn→∞|an+1an| =

(c) By the ratio test, does the series converge, diverge, or is the test inconclusive?