Question

calcule o seguinte limite: lim x->2 (x^2-x-2)/(x^2-5x+6)

Answer 1

lim x->2 (x^2-x-2)/(x^2-5x+6)

lim x->2 (x-2).(x+1)/(x-2).(x-3)

lim x->2 (x+1)/(x-3) = (3)/(-1) = -3 ✓

legenda:
x²-x-2 ==> b/c=-1/-2=1-2/1*-2 =(x+1)(x-2)
x²-5x+6=>b/c=-5/6=-2-3/-2*-3=(x-2)(x-3)