Evaluate limn→∞(∏k=1n(1+kn2))\lim_{n \to \infty} \left( \prod_{k=1}^n (1 + \frac{k}{n^2}) \right)limn→∞(∏k=1n(1+n2k)).
e1/2e^{1/2}e1/2
e1/4e^{1/4}e1/4
111
000