   Chapter 14.2, Problem 1E

Chapter
Section
Textbook Problem

Suppose that lim(x, y) → (3, 1) = 6. What can you say about the value of f(3, 1 )? What if f is continuous?

To determine

To explain: About the value of f(3,1) if lim(x,y)(3,1)f(x,y)=6 and find the value of f(3,1) if f(x,y) is continuous.

Explanation

Since there is no information about the function f, it cannot be explained about the value of f(3,1) .

Generally the equation lim(x,y)(3,1)f(x,y)=6 , represents that the value of f(x,y) approaches 6 as the value of (x,y) gets closer to (3,1) but not exactly equal to (3,1) .

Assume that f(x,y) is continuous

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