TIFR ECE 2010 | Question: 17

Question

Let $a_{1} \geq a_{2} \geq \cdots \geq a_{k} \geq 0$. Then the limit
\[
\lim _{n \rightarrow \infty}\left(\sum_{i=1}^{k} a_{i}^{n}\right)^{1 / n}
\]
is

• A. $0$
• B. $\infty$
• C. $a_{k}$
• D. $a_{1}$
• E. $\left(\sum_{i=1}^{k} a_{k}\right) / k$