Use the two-path test to prove that the following limit does not exist. x+ 2y lim (x.y)→(0,0) *- 2y x+2y z= x-2y y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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What does the value approach as (x,y) approach (0,0) along the x-aix? What does the value approach as (x,y) approach (0,0) along the y-axis?

Use the two-path test to prove that the following limit does not exist.
x+ 2y
lim
(x.y)→(0,0) *- 2y
x+2y
z=
x-2y
y
Transcribed Image Text:Use the two-path test to prove that the following limit does not exist. x+ 2y lim (x.y)→(0,0) *- 2y x+2y z= x-2y y
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