Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\left. \begin{array} { l } { \quad \lim _ { ( x , y ) \rightarrow ( 3 , - 1 ) } ( 5 x ^ { 2 } - 9 ) ( x ^ { 2 } + y ^ { 2 } ) } \end{array} \right.$$

Answer

$$Pr*e*IM*o*b*l^2*m^2*x,(3,-1)*y*(5*x^2-9)*(x^2+y^2)$$

Solution


Simplify.
\[Probleml\imath mx,y(3,-1)(5{x}^{2}-9)({x}^{2}+{y}^{2})\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Prob{l}^{2}e{m}^{2}\imath x,y(3,-1)(5{x}^{2}-9)({x}^{2}+{y}^{2})\]
Regroup terms.
\[Pre\imath ob{l}^{2}{m}^{2}x,y(3,-1)(5{x}^{2}-9)({x}^{2}+{y}^{2})\]
Regroup terms.
\[Pre\imath ob{l}^{2}{m}^{2}x,(3,-1)y(5{x}^{2}-9)({x}^{2}+{y}^{2})\]
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