\(\displaystyle a_{0},a_{1},...,a_{k}\) are real numbers and \(\displaystyle a_{0}+a_{1}+...+a_{k}=0\)
\(\displaystyle L=\lim_{n\rightarrow \infty }(a_{0}\sqrt[3]{n}+a_{1}\sqrt[3]{n+1}+...+a_{k}\sqrt[3]{n+k})\)
\(\displaystyle L=?\)
I have no idea how to start, I think I should write difference of sqrt to find the limit.
\(\displaystyle L=\lim_{n\rightarrow \infty }(a_{0}\sqrt[3]{n}+a_{1}\sqrt[3]{n+1}+...+a_{k}\sqrt[3]{n+k})\)
\(\displaystyle L=?\)
I have no idea how to start, I think I should write difference of sqrt to find the limit.