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
![Find the interval of convergence of the series.
\[
\sum_{n=1}^{\infty} \frac{(3x)^n}{2^n}
\]
(Use symbolic notation and fractions where needed. Give your answers as intervals in the form \( (\ast, \ast) \). Use the symbol ∞ for infinity, ∪ for combining intervals, and the appropriate type of parenthesis "\( ( \)", "\( ) \)", "\( [ \)" or "\( ] \)" depending on whether the interval is open or closed. Enter DNE if the interval is empty.)
\[
x \in \text{[input box]}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d1ce009-23a3-40ae-97d8-37e468e90451%2F260d5cce-5986-4eaa-8933-8d3871ffbe42%2Fidk06mb_processed.png&w=3840&q=75)
Transcribed Image Text:Find the interval of convergence of the series.
\[
\sum_{n=1}^{\infty} \frac{(3x)^n}{2^n}
\]
(Use symbolic notation and fractions where needed. Give your answers as intervals in the form \( (\ast, \ast) \). Use the symbol ∞ for infinity, ∪ for combining intervals, and the appropriate type of parenthesis "\( ( \)", "\( ) \)", "\( [ \)" or "\( ] \)" depending on whether the interval is open or closed. Enter DNE if the interval is empty.)
\[
x \in \text{[input box]}
\]
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