X →∞, Lim [(x ^ 2 / 1 + x) + ax-b] = 1, find a, B

X →∞, Lim [(x ^ 2 / 1 + x) + ax-b] = 1, find a, B

x^2/(1+x)+ax-b=x-1+1/(x+1)+ax-b
Because limit exists, a + 1 = 0, a = - 1
And because the limit is 1, so - 1-B = 1, B = - 2