Question

Evaluate the limits of

X²-X-2/X(X-2) As X tends to be 2

Answer 1

Let us evaluate the limits of $\frac{X²-X-2}{X(X-2)}$ as $X$ tends to 2.

$\lim\limits_{X\to 2}\frac{X²-X-2}{X(X-2)}=\lim\limits_{X\to 2}\frac{(X-2)(X+1)}{X(X-2)}= \lim\limits_{X\to 2}\frac{X+1}{X}=\frac{3}{2}.$