Let Use polar coordinates to show that f (x, y) is continuous at all (x, y) if

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Let

(xy)p f(x,y)=x4 +34 0 (x, y) = (0, 0) (x, y) = (0, 0)

Use polar coordinates to show that f (x, y) is continuous at all (x, y) if p > 2 but is discontinuous at (0, 0) if p ≤ 2.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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