Consider the series ∑n=1∞an\sum_{n=1}^{\infty} a_n∑n=1∞an where an=∫nn+1e−x2dxa_n = \int_{n}^{n+1} e^{-x^2} dxan=∫nn+1e−x2dx. Is it convergent?
Yes, by comparison with ∑e−n2\sum e^{-n^2}∑e−n2
No, it diverges
Only if alternating
None of the above