Lim x→∞ (ax^2+bx+c) / ((3−x)(x+b))

Question

Lim x→∞ (ax^2+bx+c) / ((3−x)(x+b))

Answer 1

(a*x^2+b*x+c)/(-x^2+x*(3-b)+3*b); (a+b/x+c/x^2)/(-1+(3-b)/x+3*b/x^2), x=inf; a/(-1); lim=-a.