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Show that the following function is not continuous at (0,0). { 3 x2+y6, 0, , if (x, y) # (0,0); if (x, y) = (0,0). g(x, y)

Show that the following function is not continuous at (0,0). { 3 x2+y6, 0, , if (x, y) # (0,0); if (x, y) = (0,0). g(x, y)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 4E: Find the derivative of each function defined as follows. y=5x4+9x3+12x2-7x
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Show that the following function is not continuous at (0,0). { 3 , if (x, y) # (0,0); if (x, y) = (0,0). g(x, y) 0,
Transcribed Image Text:Show that the following function is not continuous at (0,0). { 3 , if (x, y) # (0,0); if (x, y) = (0,0). g(x, y) 0,
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