   Chapter 14, Problem 8RQ

Chapter
Section
Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.If f is a function, then lim ( x , y ) → ( 2 , 5 ) f ( x , y ) = f ( 2 , 5 )

To determine

Whether the statement “If f is a function, then lim(x,y)(2,5)f(x,y)=f(2,5) ” is true or false.

Explanation

The given statement is false since the below explanation disproves the given statement.

Let the function be f(x,y)=1(x2)2+(y5)2 .

Notice that the function is undefined when x = 2 or 5.

As (x,y)(2,5) , lim(x,y)(2,5)f(x,y) is,

lim(x

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Factor completely: a. 12x3 10x2 12x b. 2bx 2by + 3cx 3cy

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Multiply: (+5)(7)

Elementary Technical Mathematics

7. Find the absolute maximum and minimum for on the interval .

Mathematical Applications for the Management, Life, and Social Sciences

True or false:

Study Guide for Stewart's Multivariable Calculus, 8th 