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3. Show that the following function is continuous at (0, 0): x²+y4 sin(x+y2) f(x x) (x, y) (0,0

3. Show that the following function is continuous at (0, 0): x²+y4 sin(x+y2) f(x x) (x, y) (0,0

Advanced Engineering Mathematics
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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3. Show that the following function is continuous at (0, 0): x² + y² sin(x+y²) f(x, y) = (x, y) = (0,0) (x, y) = (0,0).
Transcribed Image Text:3. Show that the following function is continuous at (0, 0): x² + y² sin(x+y²) f(x, y) = (x, y) = (0,0) (x, y) = (0,0).
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