Question

Lim x->- infinity of
[(-3x^3 +4x+1) / (2-x(x^2-1)]

Answer 1

= \[\lim_{x \rightarrow \infty} \frac{-3x^3 +4x+1}{-x^3+x+2}\]

Answer 2

Consider the dominate terms (terms with highest power.

\[= \frac{-3}{-1}= 3\]