Show that the function f defined by 1, f(r, y) = { r2 + y (x, y) = (1, –1) (x, y) # (1, –1) is not continuous at (1, –1).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Using two-path test
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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