Show that a function f : R2-R defined by f(x,y)= x3- y3 / x2+ y2, if (x,y) is not equal to (0,0) and f(x,y)= 0, if x=y=0 is continuous at (0,0).
Show that a function f : R2-R defined by f(x,y)= x3- y3 / x2+ y2, if (x,y) is not equal to (0,0) and f(x,y)= 0, if x=y=0 is continuous at (0,0).
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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Show that a function f : R2-R defined by
f(x,y)= x3- y3 / x2+ y2, if (x,y) is not equal to (0,0)
and f(x,y)= 0, if x=y=0
is continuous at (0,0).
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