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Use Polar Coordinates to Find the Limit of the Function f(x,y)=x2y+xy2x2+y2f ( x , y ) = \frac { x ^ { 2 } y + x y ^ { 2 } } { x ^ { 2 } + y ^ { 2 } }

Question 296

Multiple Choice

Use polar coordinates to find the limit of the function as (x, y) approaches (0, 0) .
- f(x,y) =x2y+xy2x2+y2f ( x , y ) = \frac { x ^ { 2 } y + x y ^ { 2 } } { x ^ { 2 } + y ^ { 2 } }


A) 0
B) 2
C) 1
D) No limit

Correct Answer:

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