Evaluate limn→∞1n2∑k=1nk2+n2\lim_{n \to \infty} \frac{1}{n^2} \sum_{k=1}^n \sqrt{k^2+n^2}limn→∞n21∑k=1nk2+n2.
000
111
∫011+x2dx\int_0^1 \sqrt{1+x^2} dx∫011+x2dx
∫01x2dx\int_0^1 \sqrt{x^2} dx∫01x2dx