Let C be any nonzero constant a. If the series E un is convergent and its sum is S, then the series E cu, is also n%3D1 convergent and its sum is c· S b. If the series E Un is divergent, then the series E cu, is also divergent + 00 n3D1 n%3D1

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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Let C be any nonzero constant
a. If the series E un is convergent and its sum is S, then the series E cu, is also
n%3D1
convergent and its sum is c· S
b. If the series E Un is divergent, then the series E cu, is also divergent
+ co
n=D1
%3D1
Transcribed Image Text:Let C be any nonzero constant a. If the series E un is convergent and its sum is S, then the series E cu, is also n%3D1 convergent and its sum is c· S b. If the series E Un is divergent, then the series E cu, is also divergent + co n=D1 %3D1
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