Find the limit Lim 2x ^ 2-5x + 2 / x ^ 2-x-2 x = 2

Find the limit Lim 2x ^ 2-5x + 2 / x ^ 2-x-2 x = 2

lim [2x²-5x+2]/[x²-x-2]
x→2
=lim (x-2)(2x-1)/(x-2)(x+1]
x→2
=lim (2x-1)/(x+1)
x→2
=(4-1)/(2+1)
=1