1). Iff(x) = ∞ n = 0xnn!andg(x) = ∞ n = 0(−1)nxnn!,find the power series of12(f(x) + g(x))and of12(f(x) − g(x)).12(f(x) + g(x))=∞ n = 0 12(f(x) − g(x))=∞ n = 0 please show step by step clearly

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Answered: 1). Iff(x) = ∞ n = 0 xn n!and…

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1). Iff(x) = ∞ n = 0 xn n!and g(x) = ∞ n = 0(−1)n xn n!, find the power series of 1 2(f(x) + g(x))

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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Question

1). Iff(x) =

∞

n = 0

xⁿ

and

g(x) =

∞

n = 0

(−1)ⁿ

xⁿ

find the power series of

(f(x) + g(x))

and of

(f(x) − g(x)).

(f(x) + g(x))

∞

n = 0

(f(x) − g(x))

∞

n = 0

please show step by step clearly

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