If f(x) = (〖ax〗^3+〖bx〗^2+〖cx〗^ +d)/(x^2+x-2), and given limit(x→∞)⁡〖f(x)=1〗, limit(x→1)⁡〖f(x)=0〗, determine the values for a,b,c,d

Answer 1

a=0 or there is no horizontal asymptote
b=1 because the asymptote is at y=b^2
so now we know that f(x) = (x^2+cx+d)/(x^2+x-2)
See what you can do with that.