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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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**Exercise: Applying L'Hospital's Rule to Find Limits**

**Instructions:** Find the limit. Use L'Hospital's Rule where appropriate. If L'Hospital's Rule does not apply, explain why.

(a) \(\lim_{{x \to 0}} \frac{x^2}{1 - \cos x}\)

(b) \(\lim_{{x \to 0}} \frac{\ln x}{x}\)

(c) \(\lim_{{x \to \infty}} x \ln\left(1 - \frac{1}{x}\right)\)
Transcribed Image Text:**Exercise: Applying L'Hospital's Rule to Find Limits** **Instructions:** Find the limit. Use L'Hospital's Rule where appropriate. If L'Hospital's Rule does not apply, explain why. (a) \(\lim_{{x \to 0}} \frac{x^2}{1 - \cos x}\) (b) \(\lim_{{x \to 0}} \frac{\ln x}{x}\) (c) \(\lim_{{x \to \infty}} x \ln\left(1 - \frac{1}{x}\right)\)
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