lim x->-2 x²+5x+6/x+2

Question

lim x->-2 x²+5x+6/x+2

Answer 1

lim x->-2 x²+5x+6/x+2

 

x²+5x+6=0

D=25-24=1

x1=-5+1/2=-2

x2=-5-1/2=-3

x²+5x+6=(x+2)(x+3)

lim x->-2 x²+5x+6/x+2=lim x->-2  (x+2)(x+3)/x+2=lim x->-2 ( x+3)=-2+3=1