IM Let x2 f(x) = 1 4 (-1)", オク 4n 16 64 n=0 a) What is the radius of convergence R of the power series? Answer: R = b) What is the interval of convergence of the power series? Answer: • (-R,R) [-R,R) (-R,R] [-R,R] None of the above

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Help for parts a and b
Let
x2
f(x) = 1
4
(-1)"
tク
4n
%3D
16
64
n=0
a) What is the radius of convergence R of the power series?
Answer:
R =
b) What is the interval of convergence of the power series?
Answer:
• (-R,R) [-R,R) (-R,R] [-R,R] None of the above
rin series near 0.
Transcribed Image Text:Let x2 f(x) = 1 4 (-1)" tク 4n %3D 16 64 n=0 a) What is the radius of convergence R of the power series? Answer: R = b) What is the interval of convergence of the power series? Answer: • (-R,R) [-R,R) (-R,R] [-R,R] None of the above rin series near 0.
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