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) \(\lim_{{x \to \infty}} x \ln\left(1 - \frac{1}{x}\right)\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1b919cd-425f-43bc-a2f9-5a7eafb2089a%2Fb3aa301d-3a26-46b1-87c9-17b86b6da269%2Fqd56fog_processed.jpeg&w=3840&q=75)
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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