Use the Integral Test to determine convergence of ∑n=1∞nen2\sum_{n=1}^{\infty} \frac{n}{e^{n^2}}∑n=1∞en2n. What does ∫1∞xex2dx\int_1^{\infty} \frac{x}{e^{x^2}} dx∫1∞ex2xdx equal?
12e\frac{1}{2e}2e1 (converges)
∞\infty∞ (diverges)
000 (inconclusive)
111 (converges)