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 7**
**Find the limit:**
\[
\lim_{{x \to 1}} \frac{x^7 - 1}{x^3 - 1}
\]
This exercise involves calculating the limit of a rational function as \(x\) approaches 1. The expression is \(\frac{x^7 - 1}{x^3 - 1}\). To solve this limit, you may need to factor the polynomials in the numerator and the denominator to simplify the expression and possibly use L'Hôpital's rule or algebraic manipulation to evaluate the limit as \(x\) approaches 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1aaff698-d6d9-432c-a8ab-5a03f6066bc1%2Fc0690018-45de-4691-8d28-d066a3b222af%2Fs8z7io_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise 7**
**Find the limit:**
\[
\lim_{{x \to 1}} \frac{x^7 - 1}{x^3 - 1}
\]
This exercise involves calculating the limit of a rational function as \(x\) approaches 1. The expression is \(\frac{x^7 - 1}{x^3 - 1}\). To solve this limit, you may need to factor the polynomials in the numerator and the denominator to simplify the expression and possibly use L'Hôpital's rule or algebraic manipulation to evaluate the limit as \(x\) approaches 1.
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