### Steps to solve a limit question are noted.

1. lim (12x^(3) + 12)/5x^(4) + 5x^(3) + 7 x-> infinity 2. lim (12x^(3) + 12)/5x^(4) + 5x^(3) + 7 x-> -infinity 3. lim (3x^(3) - 9x^(1) + 7)/3x^(3) + 7x^(2) - 7 x->infinity 4. lim (3x^(3) - 9x^(1) + 7)/3x^(3) + 7x^(2) - 7 x-> - infinity 5. lim