Question

next, cancel common factors.
lim_{x
ightarrow6}\frac{x(x - 6)}{(x - 6)(x + 1)}=lim_{x
ightarrow6}\frac{x}{square}

Explanation:

Step1: Cancel common factor

Cancel out the common factor $(x - 6)$ in the numerator and denominator of the fraction $\frac{x(x - 6)}{(x - 6)(x + 1)}$. So, $\lim_{x
ightarrow6}\frac{x(x - 6)}{(x - 6)(x + 1)}=\lim_{x
ightarrow6}\frac{x}{x + 1}$.

Answer:

$\frac{x}{x + 1}$