Use the ratio test to determine whether ∑n=21∞5n(2n)!∑n=21∞5n(2n)!x converges or diverges.(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n≥21n≥21, 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? 005"Use the ratio test to determine whetherconverges or diverges.(2n)!п 21(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 21,an+1limlimn00an(b) Evaluate the limit in the previous part. Enter oo as infinity and -00 as -infinity. If the limit does not exist, enter DNE.an+1limn00an(C) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

Answered: Image /qna-images/answer/a4e122a3-63d4-4037-b86a-2d0b8fb7f1c5.jpg

00 5" Use the ratio test to determine whether converges or diverges. (2n)! п 21 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 21, an+1 lim lim n00 an (b) Evaluate the limit in the previous part. Enter oo as infinity and -00 as -infinity. If the limit does not exist, enter DNE. an+1 lim n00 (C) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

00 5" Use the ratio test to determine whether converges or diverges. (2n)! п 21 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 21, an+1 lim lim n00 an (b) Evaluate the limit in the previous part. Enter oo as infinity and -00 as -infinity. If the limit does not exist, enter DNE. an+1 lim n00 (C) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 76E

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Question

Use the ratio test to determine whether ∑n=21∞5n(2n)!∑n=21∞5n(2n)!x converges or diverges.

(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n≥21n≥21,

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?