Problem

1. (10 Points) Evaluate:

(a) (5 Points) $\lim_{n\to\infty}\dfrac{n}{n+1}$

(b) (5 Points) $\lim_{x\to 0} e^{-\frac{1}{x^2}}\left(\dfrac{1}{x^5}-\dfrac{3}{x^3}\right)$