about lim f(x, y)? (x,y)-(0.0) Using the two-path test, lim (xy)-(0,0) f(x, y) = 1. lim f(x, y) exists. (xy)-(0.0) D This option This option Using the two-path test, lim f(x, y) = 0. (x,y)-(0,0) lim f(x, y) doesn't exist. (ху)- (0,0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Question
Let f(x, y) =
Which of the following is true
about lim
(x.y)(0,0)
f(x, y)?
Using the two-path test,
lim
(xy)-(0,0)
f(x, y) = 1.
lim
(x.y)-(0,0)
f(x, y) exists.
This option
This option
lim f(x, y) = 0.
(x.y)-(0,0)
Using the two-path test,
lim f(x, y) doesn't exist.
(xy)-(0,0)
This option
This option
Transcribed Image Text:Let f(x, y) = Which of the following is true about lim (x.y)(0,0) f(x, y)? Using the two-path test, lim (xy)-(0,0) f(x, y) = 1. lim (x.y)-(0,0) f(x, y) exists. This option This option lim f(x, y) = 0. (x.y)-(0,0) Using the two-path test, lim f(x, y) doesn't exist. (xy)-(0,0) This option This option
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