6 The function f(x) = 1+64x2 is represented as a power series S(x) = E Cnx". Find the first few coefficients in the power series. Co = 6 Ci = 0 c2 = -384 C3 = 0 C4 = 24576 Find the radius of convergence R of the serles. R= 1/64

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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6
The function f(x) =
is represented as a power series
1+64x2
f(x) = E cnx".
n=0
Find the first few coefficients in the power series.
Co = 6
ci = 0
c2 = -384
C3 =
C4 = 24576
Find the radius of convergence R of the series.
R = 1/64
Transcribed Image Text:6 The function f(x) = is represented as a power series 1+64x2 f(x) = E cnx". n=0 Find the first few coefficients in the power series. Co = 6 ci = 0 c2 = -384 C3 = C4 = 24576 Find the radius of convergence R of the series. R = 1/64
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