Find the limit . $\lim _ { ( x , y ) \rightarrow ( 4,4 ) } \frac { 3 x y } { x ^ { 2 } + y ^ { 2 } }$
A) 32
B) $\frac { 3 } { 2 }$
C) $\frac { 48 } { 37 }$
D) 48
E) 0

Question

Quizplus · Accepted Answer

The limit can be directly calculated by substituting $x = 4$ and $y = 4$ into the given expression: $\frac{3 \cdot 4 \cdot 4}{4^2 + 4^2} = \frac{48}{32} = \frac{3}{2}$.

Find the Limit lim⁡(x,y)→(4,4)3xyx2+y2\lim _ { ( x , y ) \rightarrow ( 4,4 ) } \frac { 3 x y } { x ^ { 2 } + y ^ { 2 } }lim(x,y)→(4,4)​x2+y23xy​

Find the Limit $\lim _ { ( x , y ) \rightarrow ( 4,4 ) } \frac { 3 x y } { x ^ { 2 } + y ^ { 2 } }$