By considering different paths of approach, show that the function below has no limit as (x,.y)→(0,0). h(x.y) = - y

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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By considering different paths of approach, show that the function below has no limit as (x,y)→(0,0)
2 + y
h(x,y) =
y
If (x,y) approaches (0,0) along the curve when k = 1 used in the set of curves found above, what is the limit?
(Simplify your answer.)
Transcribed Image Text:By considering different paths of approach, show that the function below has no limit as (x,y)→(0,0) 2 + y h(x,y) = y If (x,y) approaches (0,0) along the curve when k = 1 used in the set of curves found above, what is the limit? (Simplify your answer.)
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