Consider g(x, y) = -5x²y³ 3x4 + 7y6¹ 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that g has an essential discontinuity at (x, y) (b) Find gr(0,0). (0,0).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider g(x, y)
=
-5x²y³
3x4 + 7y6'
0,
if (x, y)
(0,0)
if (x, y) = (0,0)
(a) Show that g has an essential discontinuity at (x, y)
(b) Find ga(0,0).
(0,0).
Transcribed Image Text:Consider g(x, y) = -5x²y³ 3x4 + 7y6' 0, if (x, y) (0,0) if (x, y) = (0,0) (a) Show that g has an essential discontinuity at (x, y) (b) Find ga(0,0). (0,0).
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