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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![### Calculus Limit Problem
**Problem 47:**
Evaluate the limit as \( \theta \) approaches 0 for the following expression:
\[
\lim_{{\theta \to 0}} \frac{{\cos \theta - 1}}{{2\theta^2}}
\]
This problem involves determining the limit of a trigonometric expression divided by a polynomial function as \( \theta \) approaches zero. Solving this limit may require using L'Hopital's Rule or a Taylor series expansion for the cosine function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90d2137b-83f2-4c15-8300-1a033b76054d%2F5a017cc4-6d88-48e6-a00c-8699e3613ca8%2Fhfn01hg_processed.png&w=3840&q=75)
Transcribed Image Text:### Calculus Limit Problem
**Problem 47:**
Evaluate the limit as \( \theta \) approaches 0 for the following expression:
\[
\lim_{{\theta \to 0}} \frac{{\cos \theta - 1}}{{2\theta^2}}
\]
This problem involves determining the limit of a trigonometric expression divided by a polynomial function as \( \theta \) approaches zero. Solving this limit may require using L'Hopital's Rule or a Taylor series expansion for the cosine function.
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