next, cancel common factors.\n lim_{x\rightarrow6}\frac{x(x - 6)}{(x - 6)(x + 1)}=lim_{x\rightarrow6}\frac{x}…

next, cancel common factors.\n lim_{x\rightarrow6}\frac{x(x - 6)}{(x - 6)(x + 1)}=lim_{x\rightarrow6}\frac{x}{square}

next, cancel common factors.\n lim_{x\rightarrow6}\frac{x(x - 6)}{(x - 6)(x + 1)}=lim_{x\rightarrow6}\frac{x}{square}

Answer

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, $\lim_{x\rightarrow6}\frac{x(x - 6)}{(x - 6)(x + 1)}=\lim_{x\rightarrow6}\frac{x}{x + 1}$.

Answer:

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