Question

Find the limit of 2x(x-2)/x-2 as x is 2

Answer 1

$lim_{x\to2}\frac{2x(x-2)}{(x-2)}\space[0/0 form]\\ =lim_{x\to2}\frac{2x+2(x-2)}{1}\\ =lim_{x\to2}\frac{4x-4}{1}\\ =4$