Show that the function f defined by 1. (x, y) = (1, –1) f (x, y) : x² + y .2 (x, y) + (1, –1) x + Y is not continuous at (1, –1).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Show that the function f is not continuous at the point.

 

Show that the function f defined by
1.
(x, y) = (1, –1)
f (x, y) :
x² + y
.2
(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 (x, y) : x² + y .2 (x, y) + (1, –1) x + Y is not continuous at (1, –1).
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