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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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Evaluat the limit,show the stps

The image shows the mathematical expression for a limit:

\[ \lim_{\theta \to 0} \frac{\sin(-7\theta)}{17\theta} \]

This expression represents the limit of the function \(\frac{\sin(-7\theta)}{17\theta}\) as \(\theta\) approaches 0. In the context of calculus, this is often solved using L'Hôpital's Rule or by recognizing the standard limit \(\lim_{x \to 0} \frac{\sin(x)}{x} = 1\).
Transcribed Image Text:The image shows the mathematical expression for a limit: \[ \lim_{\theta \to 0} \frac{\sin(-7\theta)}{17\theta} \] This expression represents the limit of the function \(\frac{\sin(-7\theta)}{17\theta}\) as \(\theta\) approaches 0. In the context of calculus, this is often solved using L'Hôpital's Rule or by recognizing the standard limit \(\lim_{x \to 0} \frac{\sin(x)}{x} = 1\).
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