1-6 For each of the following functions, find a power series representation of the function, and find the radius of convergence of the power series. 7. 5. f(x) = 1+3 1 x2 2. f(x) =1-x 4. f(x) = 2x + 6

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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7 PM Fri May 13
...
1-6 I For each of the following functions, find a
power series representation of the function, and find
the radius of convergence of the power series.
7
x2
2. f(x) =
1
4. f(x) = 2x + 6
5. f(x) =
1+ x3
1-x
Transcribed Image Text:7 PM Fri May 13 ... 1-6 I For each of the following functions, find a power series representation of the function, and find the radius of convergence of the power series. 7 x2 2. f(x) = 1 4. f(x) = 2x + 6 5. f(x) = 1+ x3 1-x
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