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3. We discussed in class that En-o(-1)"x"=1-x+x²-x³+...; if |x| < 1 Use that result to find the power series representation of the following functions, and determine their radius of convergence a) f(x) = 1+4 1+x b) f(x)= 1-x 1+x =

3. We discussed in class that En-o(-1)"x"=1-x+x²-x³+...; if |x| < 1 Use that result to find the power series representation of the following functions, and determine their radius of convergence a) f(x) = 1+4 1+x b) f(x)= 1-x 1+x =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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3. We discussed in class that ¹x = Eñ=o(-1)"x" = 1 − x + x² −x³+ ... ; if |x| < 1 Use that result to find the power series representation of the following functions, and determine their radius of convergence a) f(x) = √— 4x 1+x b) f(x) = ¹+* 1-x
Transcribed Image Text:3. We discussed in class that ¹x = Eñ=o(-1)"x" = 1 − x + x² −x³+ ... ; if |x| < 1 Use that result to find the power series representation of the following functions, and determine their radius of convergence a) f(x) = √— 4x 1+x b) f(x) = ¹+* 1-x
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