![image](https://tex.z-dn.net/?f=lim+%5C+x-%3E4+%5C+%5Cfrac%7Bx%5E2-3x-4%7D%7Bx%5E2-x-12%7D%3D%5Cfrac%7B%28x%2B1%29%28x-4%29%7D%7B%28x%2B3%29%28x-4%29%7D%5C%5C%0Alim+%5C+x-%3E4+%5C+%5Cfrac%7Bx%2B1%7D%7Bx%2B3%7D+%3D+%5Cfrac%7B5%7D%7B7%7D)
4 \ \frac{x^2-3x-4}{x^2-x-12}=\frac{(x+1)(x-4)}{(x+3)(x-4)}\\
lim \ x->4 \ \frac{x+1}{x+3} = \frac{5}{7}" alt="lim \ x->4 \ \frac{x^2-3x-4}{x^2-x-12}=\frac{(x+1)(x-4)}{(x+3)(x-4)}\\
lim \ x->4 \ \frac{x+1}{x+3} = \frac{5}{7}" align="absmiddle" class="latex-formula">