How do I solve this: [math] \displaystyle \lim_{n \to \infty}  \tfrac{1}{n} (e^ {(2n-\frac{3}{2} (n-1))}) [/math]?
What is the solution for [math] \lim_{n  \to \infty}((1+ \frac{1}{2n}) \times (1+ \frac{3}{2n}).... \times (1+ \frac{2n-1} {2n}))^{ \frac{1}{2n}}[/math]?