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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Question
![Suppose that
\[
\left| \frac{a_{n+1}}{a_n} \right| \to 1 \text{ as } n \to \infty.
\]
Find the radius of convergence of the series
\[
\sum_{n=1}^{\infty} \frac{a_n x^n}{4^n}.
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cf09b2a-e92e-430b-8152-8153c73e6dd1%2F9049112c-2a19-405a-905a-ffd4260a28e0%2F57v1uv8_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that
\[
\left| \frac{a_{n+1}}{a_n} \right| \to 1 \text{ as } n \to \infty.
\]
Find the radius of convergence of the series
\[
\sum_{n=1}^{\infty} \frac{a_n x^n}{4^n}.
\]
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