Question

. Find the limits lim (𝑥,𝑦)→(2,−4) 𝑦+4 𝑥 2𝑦−𝑥𝑦+4𝑥 2−4�

Answer 1

We need to find $lim(x,y)\to$ $(2,-4)$ $\frac {(y+4x)} {(2y-xy+4x)}$

We will do direct substitution to find the limit .

$=$ $\frac{(-4+4(2))} {(2(-4)-2(-4)+4(2))}$

$=\frac {(-4+8)} {(-8+8+8)}$

$=\frac 4 8$ $=\frac 1 2$ (ans)