lim(n->∞) ∑(i:1->n) (i/n^2) e^(i/n)^2ai =(i/n^2) e^(i/n)^2= (1/n) [ (i/n) e^(i/n)^2 ]lim(n->∞) ∑(i:1->n) (i/n^2) e^(i/n)^2=∫(0->1) x e^(x^2) dx=(1/2) [ e^(x^2) ] |(0->1)=(1/2) ( e- 1)ans : B
