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

question 263

Multiple Choice

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

• A) 1
• B) \(\frac { \pi } { 2 }\)
• C) 0
• D) No limit

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