Evaluate limn→∞∫01nx1+n2x2dx\lim_{n \to \infty} \int_0^1 \frac{n x}{1 + n^2 x^2} dxlimn→∞∫011+n2x2nxdx.
000
111
π2\frac{\pi}{2}2π
ln(2)\ln(2)ln(2)