Limit[((n^2 - n)^(1/3))/(n + 2), n -> Infinity] == 0
Why answer is equals to 0? What are the steps?
The trick (or first step) to all these types of limit calculations is to divide the top and bottom by the highest power of n, and then use the fact
$\displaystyle \lim_{n\to \infty } \, \frac{1}{n^a}=0, a>0$
along with the algebra of limits, i.e. the sum, and product rules etc.