the power series ∞ (7-2x)" Consider f(x) = Σ function. 6n n=1 as a a. Find the interval of convergence of f. b. Find the radius of convergence of f. c. Find a power series for f'(x). X d. Find a power series for ff(t)dt ƒ ƒ(t)dt 7/2

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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Consider the power series
∞ (7-2x)"
f(x) = Σ
function.
6n
n=1
as a
a. Find the interval of convergence
of f.
b. Find the radius of convergence of
f.
c. Find a power series for f'(x).
X
i f(t)dt
d. Find a power series for f(t)dt
7/2
Transcribed Image Text:Consider the power series ∞ (7-2x)" f(x) = Σ function. 6n n=1 as a a. Find the interval of convergence of f. b. Find the radius of convergence of f. c. Find a power series for f'(x). X i f(t)dt d. Find a power series for f(t)dt 7/2
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Solve for a and b. Need asap will rate high

Consider the power series
∞ (7-2x)"
f(x) = Σ
function.
6n
n=1
as a
a. Find the interval of convergence
of f.
b. Find the radius of convergence of
f.
c. Find a power series for f'(x).
X
i f(t)dt
d. Find a power series for f(t)dt
7/2
Transcribed Image Text:Consider the power series ∞ (7-2x)" f(x) = Σ function. 6n n=1 as a a. Find the interval of convergence of f. b. Find the radius of convergence of f. c. Find a power series for f'(x). X i f(t)dt d. Find a power series for f(t)dt 7/2
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