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
Use comparison test or limit comparison test to determine if series converges
![The image shows the following mathematical series:
\[
\sum_{k=1}^{\infty} \frac{\sin^2 k}{k^2}
\]
This represents an infinite series where the general term is \(\frac{\sin^2 k}{k^2}\). Here, \(k\) is an integer starting from 1 and going to infinity. The series involves the square of the sine function in the numerator and the square of the integer \(k\) in the denominator.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe11b9c2-33d9-41e3-b9ce-693255816c85%2Fa1d98da9-6cd8-4cc6-a72f-31b975ceade7%2Fulzdhoh_processed.png&w=3840&q=75)
Transcribed Image Text:The image shows the following mathematical series:
\[
\sum_{k=1}^{\infty} \frac{\sin^2 k}{k^2}
\]
This represents an infinite series where the general term is \(\frac{\sin^2 k}{k^2}\). Here, \(k\) is an integer starting from 1 and going to infinity. The series involves the square of the sine function in the numerator and the square of the integer \(k\) in the denominator.
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