Question

Evaluate the following limits.
$\underset{x\to \infty }{lim}({(x+1)}^{\frac{2}{3}}-{(x+1)}^{\frac{2}{3}})$

Answer 1

$\underset{x\to \infty }{lim}((x+1{)}^{\frac{2}{3}}-(x+1{)}^{\frac{2}{3}})=\underset{x\to \infty }{lim}\left(0\right)=0$