If f(x) = = ∞ n=0 n ∞ -2” and g(x) = Ỹ ( − 1)" mæª, find the power series of(f(x) – g(x)). n n=0 Σ (1-(-1)^)( (-)²² x 2(3) n n=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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If f(x) =
∞
n=0
∞
n
-x” and g(x) = Σ ( − 1)"x", find the power series of 1½ (f(x) – g(x)).
3n
3n
n=0
∞
Σ| (¹-(-1)²)|
n=0
n
2(3)
n
X
Transcribed Image Text:If f(x) = ∞ n=0 ∞ n -x” and g(x) = Σ ( − 1)"x", find the power series of 1½ (f(x) – g(x)). 3n 3n n=0 ∞ Σ| (¹-(-1)²)| n=0 n 2(3) n X
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