3x3 + y3 (x, y) # (0,0) Let f(x) = 1, (r, y) = (0,0) Is ƒ continuous at (0,0)? Give mathematical reasons. (Hint: Use polar coordinates.)

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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 27E
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3x3 + y3
(x, y) # (0,0)
Let f(x) =
1,
(r, y) = (0,0)
Is ƒ continuous at (0,0)? Give mathematical reasons. (Hint: Use polar coordinates.)
Transcribed Image Text:3x3 + y3 (x, y) # (0,0) Let f(x) = 1, (r, y) = (0,0) Is ƒ continuous at (0,0)? Give mathematical reasons. (Hint: Use polar coordinates.)
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