b. lim xsin (2) x-0

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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Evaluate using the Squeeze Theo

The image displays a mathematical problem related to limits in calculus. The text is:

b. \(\lim_{{x \to 0}} x \sin\left(\frac{1}{x^2}\right)\)

This expression involves finding the limit of the product of \(x\) and the sine of the reciprocal of \(x^2\) as \(x\) approaches 0. This type of problem often involves analyzing the behavior of the function as it approaches zero from both positive and negative directions. Techniques such as the Squeeze Theorem might be applicable to solve this limit. There is no graph or diagram accompanying this text.
Transcribed Image Text:The image displays a mathematical problem related to limits in calculus. The text is: b. \(\lim_{{x \to 0}} x \sin\left(\frac{1}{x^2}\right)\) This expression involves finding the limit of the product of \(x\) and the sine of the reciprocal of \(x^2\) as \(x\) approaches 0. This type of problem often involves analyzing the behavior of the function as it approaches zero from both positive and negative directions. Techniques such as the Squeeze Theorem might be applicable to solve this limit. There is no graph or diagram accompanying this text.
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