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Let f(x, y) = (x² – y²) / (x² + y²). Why does - lim (x,y)→(0,0) f(x, y) not exist? You are dividing zero by zero The limit does exist O f(0,1) = 1, but f (1,1) = 0

Let f(x, y) = (x² – y²) / (x² + y²). Why does - lim (x,y)→(0,0) f(x, y) not exist? You are dividing zero by zero The limit does exist O f(0,1) = 1, but f (1,1) = 0

Algebra & Trigonometry with Analytic Geometry
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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Option D: Lim t -> 0 f(t,0) = 1 but lim t -> 0 f(0,t) =  -1 

 

Let f(x, y) = (x² –- y²) / (x² + y²). why does lim (x,y)→(0,0) f(x, y) not exist? O You are dividing zero by zero The limit does exist O f(0, 1) = 1, but f(1, 1) = 0
Transcribed Image Text:Let f(x, y) = (x² –- y²) / (x² + y²). why does lim (x,y)→(0,0) f(x, y) not exist? O You are dividing zero by zero The limit does exist O f(0, 1) = 1, but f(1, 1) = 0
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