Use Polar Coordinates and L'Hopital's Rule to Find the Limit $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } \frac { 10 \sin \left( x ^ { 2 } + y ^ { 2 } \right) } { x ^ { 2 } + y ^ { 2 } }$

question 114

Multiple Choice

Use polar coordinates and L'Hopital's Rule to find the limit. $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } \frac { 10 \sin \left( x ^ { 2 } + y ^ { 2 } \right) } { x ^ { 2 } + y ^ { 2 } }$

• A) \(\frac { \sqrt { 3 } } { 2 }\)
• B) 10
• C) \(\frac { 1 } { 2 }\)
• D) \(\frac { \sqrt { 2 } } { 2 }\)
• E) 0

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