Show that at (0,0). ») — { (? ) x² sin 0, I f(x, y) = (y² +1), ²³ +1), (x, y) (0, 0), (x, y) = (0,0). (0,0) exists, and show that the Of(x, y) is not continuous ?х ?х

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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sir answer it

3.
Consider the following function
Show that
at (0,0).
f(x, y) =
») — {
=
¹ (²-) (v² + 1),
x² sin
(y² +1), (x,y) = (0,0),
(x, y) = (0,0).
(0,0) exists, and show that the Of(x, y) is not continuous
?х
Transcribed Image Text:3. Consider the following function Show that at (0,0). f(x, y) = ») — { = ¹ (²-) (v² + 1), x² sin (y² +1), (x,y) = (0,0), (x, y) = (0,0). (0,0) exists, and show that the Of(x, y) is not continuous ?х
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