Question

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

Answer 1

0

Explanation:

You can write `x^(-1/3)` as `1/root(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).

So the answer is 0. Hope this helps!