Find the limit $\lim _ { ( x , y ) \rightarrow ( 1,2 ) } \left( 3 x ^ { 2 } + 4 y ^ { 2 } \right)$.
A) 52
B) 16
C) 73
D) 19

Name: Find the limit $\lim _ { ( x , y ) \rightarrow ( 1,2 ) } \left( 3 x ^ { 2 } + 4 y ^ { 2 } \right)$. A) 52 B) 16 C) 73 D) 19
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Question

Quizplus · Accepted Answer

To find the limit as $(x, y) \rightarrow (1, 2)$, substitute $x = 1$ and $y = 2$ into the expression $3x^2 + 4y^2$. This gives $3(1)^2 + 4(2)^2 = 3(1) + 4(4) = 3 + 16 = 19$.

Find the Limit lim⁡(x,y)→(1,2)(3x2+4y2)\lim _ { ( x , y ) \rightarrow ( 1,2 ) } \left( 3 x ^ { 2 } + 4 y ^ { 2 } \right)lim(x,y)→(1,2)​(3x2+4y2)

Find the Limit $\lim _ { ( x , y ) \rightarrow ( 1,2 ) } \left( 3 x ^ { 2 } + 4 y ^ { 2 } \right)$