lim (2x^2+3x-2)/ (2x-1)

Question

the lim is x->1/2
[ans:5/2 but i get 3/2)
can someone show me the calculation work.

Answer 1

lim (2x-1)(x+2)/(2x-1) as x --> 1/2
= lim x+2
= 1/2 + 2
= 1/2 + 4/2
= 5/2