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

question 251

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

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