Question

Evaluate the limits of

X² - X - 2

____________________ As X ----> 2

X (X - 2 )

Answer 1

factorize

$x$ ²$-x-2$

$x$ ²$-2x+x-2$

$x(x-2)+1(x-2)$

$(x-2)(x+1)$

$(x-2)(x+1)/x(x-2)$

$(x+1)/x$

substituting $x=2$

$(2+1)/2$

$=1.5$