4. Let f(x, y) = y ln(x² + y²) whenever (x, y) = (0,0) and f(0,0) = 0. Show that f, is defined at all points (x, y), and that fe is not continuous at (0,0).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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4. Let f(x, y) = y ln(x² + y²) whenever (x, y) = (0,0) and f(0,0) = 0. Show
that f, is defined at all points (x, y), and that fe is not continuous at
(0,0).
Transcribed Image Text:4. Let f(x, y) = y ln(x² + y²) whenever (x, y) = (0,0) and f(0,0) = 0. Show that f, is defined at all points (x, y), and that fe is not continuous at (0,0).
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