Your friend from Calc 2 says that the following statement is not true: x2-x-2/x-2 = (x+1) She is right, the two functions involved are not exactly the same. a) What is different? Answer with complete sentences and supporting graphs. b) Now consider the following equation, which is true: lim x approaches 2 x2-x-2/x-2 = lim x approaches 2 (x+1) How does adding a limit sign in front of each function solve the problem from part a?

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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1. Your friend from Calc 2 says that the following statement is not true:

x2-x-2/x-2 = (x+1)

She is right, the two functions involved are not exactly the same.

a) What is different? Answer with complete sentences and supporting graphs.

b) Now consider the following equation, which is true:

lim x approaches 2 x2-x-2/x-2 = lim x approaches 2 (x+1)

How does adding a limit sign in front of each function solve the problem from part a?

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