If $f ( x , y ) = \frac { x y } { x ^ { 2 } + y ^ { 2 } }$

question 157

Multiple Choice

If $f ( x , y ) = \frac { x y } { x ^ { 2 } + y ^ { 2 } }$ then $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } f ( x , y )$

• A)exists
• B)does not exist
• C)is equal to 0
• D)is equal to \(\frac { 1 } { 2 }\)
• E)is equal to 1

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