Question 916289
f(x) = 3x² + 2 
f' = 6x
........
{{{lim( x->2, (2x^2 - 4x + 4)/(x-2) ) ) }}} = -∞  0r +∞ depending on which way You are approaching 2 ... from the left or right
{{{drawing(300,300,   -10,10,-10,20,  blue(line(2,20,2,-20))  ,  
 grid(1),
graph( 300, 300, -10,10,-10,20,0, (2x^2 - 4x + 4)/(x-2)))}}}