# How do you find the limit lim x^(-1/3) as x->-oo?

May 13, 2018

You can write ${x}^{- \frac{1}{3}}$ as $\frac{1}{\sqrt[3]{x}}$
To think about the limit, think about this: what would happen to the fraction as $x$ approaches infinitely large negative values? The 1 in the numerator will be divided by larger and larges values, so the fraction will become smaller and smaller and hence it will tend toward 0 (but not equal 0).