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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![The image contains a mathematical expression for evaluating a limit. The expression is:
\[
\lim_{{x \to \infty}} \sin \left( \frac{{\pi x^2 - 4x + 1}}{{2x^2 + 5}} \right)
\]
This expression describes the limit of the sine function applied to a rational function as \( x \) approaches infinity. The rational function inside the sine consists of a quadratic polynomial in the numerator, \(\pi x^2 - 4x + 1\), and a quadratic polynomial in the denominator, \(2x^2 + 5\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F533a1245-2989-4c45-a197-4ec02641e173%2Feca580e4-63a5-4c46-ab96-56b961dc71f2%2Fwedufa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a mathematical expression for evaluating a limit. The expression is:
\[
\lim_{{x \to \infty}} \sin \left( \frac{{\pi x^2 - 4x + 1}}{{2x^2 + 5}} \right)
\]
This expression describes the limit of the sine function applied to a rational function as \( x \) approaches infinity. The rational function inside the sine consists of a quadratic polynomial in the numerator, \(\pi x^2 - 4x + 1\), and a quadratic polynomial in the denominator, \(2x^2 + 5\).
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