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
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...
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa93ff2f-dc04-4549-9d2f-0f80a4020e3f%2F251bed0d-ee05-4ef3-ae6a-b2df4a07580d%2Fqghasuu_processed.png&w=3840&q=75)
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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning