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The series ∞ (-10) k k! k=1 is an alternating series but we can apply the ratio test to ∞ (-10) k k! to test for absolute convergence. Applying the ratio test for absolute convergence you would compute ak+1 lim k→∞ ak = lim = k→∞ Hence the series converges

The series ∞ (-10) k k! k=1 is an alternating series but we can apply the ratio test to ∞ (-10) k k! to test for absolute convergence. Applying the ratio test for absolute convergence you would compute ak+1 lim k→∞ ak = lim = k→∞ Hence the series converges

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The series ∞ (-10) k k! k=1 is an alternating series but we can apply the ratio test to (-10) k k! to test for absolute convergence. Applying the ratio test for absolute convergence you would compute ak+1 lim k→∞ ak = lim k→∞ Hence the series converges || =
Transcribed Image Text:The series ∞ (-10) k k! k=1 is an alternating series but we can apply the ratio test to (-10) k k! to test for absolute convergence. Applying the ratio test for absolute convergence you would compute ak+1 lim k→∞ ak = lim k→∞ Hence the series converges || =
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