Determine whether the function xy²/3 + xy √√x⁹ +2y³ h(x, y) = 1 √3' if (x, y) = (0,0) if (x, y) = (0,0) nous at the point (0, 0) or not. If not, determine whether the disc removable or essential.
Determine whether the function xy²/3 + xy √√x⁹ +2y³ h(x, y) = 1 √3' if (x, y) = (0,0) if (x, y) = (0,0) nous at the point (0, 0) or not. If not, determine whether the disc removable or essential.
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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Transcribed Image Text:Determine whether the function
xy²/³ + xy
x⁹ + 2y³¹
h(x, y)
if (x, y) = (0,0)
if (x, y) = (0,0)
√3
is continuous at the point (0,0) or not. If not, determine whether the discon-
tinuity is removable or essential.
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