Learn how to solve problems step by step online. Find the limit of -2/(1-x^3) as x approaches infinity. As it's an indeterminate limit of type \frac{\infty}{\infty}, divide both numerator and denominator by the term of the denominator that tends more quickly to infinity (the term that, evaluated at a large value, approaches infinity faster). In this case, that term is . Separate the terms of both fractions. Simplify the fraction \frac{-x^3}{x^3} by x^3. Evaluate the limit \lim_{x\to\infty }\left(\frac{\frac{-2}{x^3}}{\frac{1}{x^3}-1}\right) by replacing all occurrences of x by \infty .

Find the limit of -2/(1-x^3) as x approaches infinity