Evaluate limn→∞1n∑k=1nkn\lim_{n \to \infty} \frac{1}{n}\sum_{k=1}^{n} \frac{k}{n}limn→∞n1∑k=1nnk (recognize as a Riemann sum).
111
12\frac{1}{2}21
000
13\frac{1}{3}31