if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that g has an essential discontinuity at (x, y) = (0,0). (b) Find g (0,0). Consider g(x, y) - 5x²y³ 3x4 + 7y6 0, =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider g(x, y) =
=
-5x²y³
3x² + 7y6¹
0,
if (x, y) = (0,0)
if (x, y) = (0,0)
(a) Show that g has an essential discontinuity at (x, y) = (0,0).
(b) Find g (0,0).
Transcribed Image Text:Consider g(x, y) = = -5x²y³ 3x² + 7y6¹ 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that g has an essential discontinuity at (x, y) = (0,0). (b) Find g (0,0).
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