Determine whether the function xy²/³ + xy ³√x⁹ + 2y³¹ 1 √3' if (x, y) = (0,0) if (x, y) = (0,0) is continuous at the point (0, 0) or not. If not, determine whether the discontinuity is removable or essential. h(x, y) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine whether the function
h(x, y) =
xy²/³ + xy
x9
+ 2y³'
if (x, y) = (0,0)
if (x, y) = (0,0)
33'
is continuous at the point (0,0) or not. If not, determine whether the discontinuity is removable or
essential.
Transcribed Image Text:Determine whether the function h(x, y) = xy²/³ + xy x9 + 2y³' if (x, y) = (0,0) if (x, y) = (0,0) 33' is continuous at the point (0,0) or not. If not, determine whether the discontinuity is removable or essential.
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