Lim x^2-4x-5/x^2-2x-3 x-->-1

Question

Lim x^2-4x-5/x^2-2x-3
x-->-1

Answer 1

lim        x^2-4x-5/x^2-2x-3 = lim     ((х+1)(х-5)) /((х+1)(х-3)) =
x-->-1                                    x-->-1

 

lim     (х-5)/(х-3) = (-1-5)/(-1-3) = (-6)/(-4) = 3/2 = 1,5
x-->-1