Find the limit of f as (x,y)→(0,0) or show that the limit does not exist. Consider converting the function to polar coordinates to make finding the limit easier. x³_ xy² x² + y² f(x,y)= ... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x,y) = (Simplify your answer.) (x,y) → (0,0) OB. The limit does not exist.

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.
Chapter5: Graphs And The Derivative
Section5.2: Relative Extrema
Problem 38E
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Find the limit off as (x,y) →(0,0) or show that the limit does not exist. Consider converting the function to polar coordinates to make finding the limit easier.
2
x³ - xy²
x² + y²
f(x,y)=
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. lim f(x,y) =
(x,y) → (0,0)
B. The limit does not exist.
(Simplify your answer.)
Transcribed Image Text:Find the limit off as (x,y) →(0,0) or show that the limit does not exist. Consider converting the function to polar coordinates to make finding the limit easier. 2 x³ - xy² x² + y² f(x,y)= Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim f(x,y) = (x,y) → (0,0) B. The limit does not exist. (Simplify your answer.)
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