Find the interval of convergence of Š.-1) 36" x2n n=0 (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "I","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)

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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Find the interval of convergence of

\[
\sum_{n=0}^{\infty} (-1)^n \frac{n}{36^n} x^{2n}
\]

(Give your answer as an interval in the form \((*,*)\). Use the symbol \(\infty\) for infinity, \(\cup\) for combining intervals, and an appropriate type of parenthesis "\((\)", "\())\)", "\([\)", "\()]\)" depending on whether the interval is open or closed. Enter \(\emptyset\) if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)

\[ x \in \]

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Transcribed Image Text:Find the interval of convergence of \[ \sum_{n=0}^{\infty} (-1)^n \frac{n}{36^n} x^{2n} \] (Give your answer as an interval in the form \((*,*)\). Use the symbol \(\infty\) for infinity, \(\cup\) for combining intervals, and an appropriate type of parenthesis "\((\)", "\())\)", "\([\)", "\()]\)" depending on whether the interval is open or closed. Enter \(\emptyset\) if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) \[ x \in \] [Input Box]
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