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Is the function (x² - 1)/(x - 1) continuous at x = 1? Answer this question by evaluating f(1) and lim f(x). x→1 Match the items in the left column to the appropriate blanks in the sentences and the equations on the right. Make certain each sentence and equation is complete before submitting your answer. not continuous not permissible to divide by zero not defined continuous 0.5 lim [] 2 defined lim The function (²-1)/(x - 1) is because f(1) is be simplified to (x² - 1)/(x-1)= x + 1 because it is To calculate the limit, use L'Hopital's rule: f(x) 2-1 g(x) lim [df(x)/dx *1dg(x)/dx = lim Reset Help The expression

Is the function (x² - 1)/(x - 1) continuous at x = 1? Answer this question by evaluating f(1) and lim f(x). x→1 Match the items in the left column to the appropriate blanks in the sentences and the equations on the right. Make certain each sentence and equation is complete before submitting your answer. not continuous not permissible to divide by zero not defined continuous 0.5 lim [] 2 defined lim The function (²-1)/(x - 1) is because f(1) is be simplified to (x² - 1)/(x-1)= x + 1 because it is To calculate the limit, use L'Hopital's rule: f(x) 2-1 g(x) lim [df(x)/dx *1dg(x)/dx = lim Reset Help The expression

Calculus: Early Transcendentals
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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Is the function (x² - 1)/(x − 1) continuous at x = 1? Answer this question by evaluating ƒ(1) and lim f(x). x→1 Match the items in the left column to the appropriate blanks in the sentences and the equations on the right. Make certain each sentence and equation is complete before submitting your answer. not continuous not permissible to divide by zero not defined continuous 0.5 lim x→1 2 2.x defined lim x→1 mathematically correct lim [] x→1 can cannot The function (x² - 1)/(x − 1) is because f(1) is be simplified to (x² - 1)/(x − 1) = x + 1 because it is To calculate the limit, use L'Hopital's rule: [ƒ(x) x→1 g(x) lim df(x)/dx lim x→1 dg(x)/dx Reset The expression Help
Transcribed Image Text:Is the function (x² - 1)/(x − 1) continuous at x = 1? Answer this question by evaluating ƒ(1) and lim f(x). x→1 Match the items in the left column to the appropriate blanks in the sentences and the equations on the right. Make certain each sentence and equation is complete before submitting your answer. not continuous not permissible to divide by zero not defined continuous 0.5 lim x→1 2 2.x defined lim x→1 mathematically correct lim [] x→1 can cannot The function (x² - 1)/(x − 1) is because f(1) is be simplified to (x² - 1)/(x − 1) = x + 1 because it is To calculate the limit, use L'Hopital's rule: [ƒ(x) x→1 g(x) lim df(x)/dx lim x→1 dg(x)/dx Reset The expression Help
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