Use Polar Coordinates to Find the Limit of the Function $$f ( x , y ) = \cos ^ { - 1 } \left( \frac { x ^ { 3 } - x y ^ { 2 } } { x ^ { 2 } + y ^ { 2 } } \right)$$

Multiple Choice

Use polar coordinates to find the limit of the function as (x, y) approaches (0, 0) .
- $$f ( x , y ) = \cos ^ { - 1 } \left( \frac { x ^ { 3 } - x y ^ { 2 } } { x ^ { 2 } + y ^ { 2 } } \right)$$

A) $\pi$
B) $\frac { \pi } { 2 }$
C) 1
D) No limit