Show that the function f defined by 1, (x, y) = (1,–1) f(r, y) = { x² + y (x, y) # (1,–1) r+ y is not continuous at (1, –1).

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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Show that the function f defined by
1,
(x, y) = (1, –1)
f(r, y) = { 12 + y
%3D
(x, y) # (1, –1)
x + y
is not continuous at (1, –1).
Transcribed Image Text:Show that the function f defined by 1, (x, y) = (1, –1) f(r, y) = { 12 + y %3D (x, y) # (1, –1) x + y is not continuous at (1, –1).
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