If f(x) = g(x) = Σ 18 n=0 118 n=0 -x", find the power series of f(x)g(x). 5η

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If \( f(x) = g(x) = \sum_{n=0}^{\infty} \frac{1}{5^n} x^n \), find the power series of \( f(x)g(x) \).

\[
\sum_{n=0}^{\infty} \boxed{}
\]
Transcribed Image Text:If \( f(x) = g(x) = \sum_{n=0}^{\infty} \frac{1}{5^n} x^n \), find the power series of \( f(x)g(x) \). \[ \sum_{n=0}^{\infty} \boxed{} \]
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