Suppose that F(x) is a power series with radius of convergence R = 12. Which of the following is false? A.F'(x)is a power series with radius of convergence R = 12. B.F(3x)is a power series with radius of convergence R = 12/3=4. C.F(x/3)isa power series with radius of convergence R=12/(1/3)=36 D. [F(x)dx is a power series with radius of convergence R = 1.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Suppose that F(x) is a power series with radius of
convergence R = 12. Which of the following is false?
A. F'(x)is a power series with radius of convergence R = 12.
B.F(3x)is a power series with radius of convergence R = 12/3= 4.
C.F(x/3)isa power series with radius of convergence R=12/(1/3)=36.
D. [ F(x)dx is apower series with radius of convergence R = 1.
A
Transcribed Image Text:Suppose that F(x) is a power series with radius of convergence R = 12. Which of the following is false? A. F'(x)is a power series with radius of convergence R = 12. B.F(3x)is a power series with radius of convergence R = 12/3= 4. C.F(x/3)isa power series with radius of convergence R=12/(1/3)=36. D. [ F(x)dx is apower series with radius of convergence R = 1. A
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