Answer
4/3
Work Step by Step
Whenever the powers of the denominator and numerator of a rational function are equal, the limit as x tends to infinity will be the coefficients of the highest powered terms of both top and bottom. But... something is different! The value as x tends to negative infinity is asked! But it doesn't matter since both are even powers. In this equation the coefficients are 4 and 3 and 4/3 is our final answer.