# Calculus Homework Due 5-7-15

Evaluate each limit.

1. $\lim_{x \to 1}\frac{\ln{x}}{x^2-1}$

2. $\lim_{t \to\pi}\frac{\sin^2{t}}{t-\pi}$

3. $\lim_{x \to 0}\left ( \frac{1}{x}-\frac{1}{\sin{x}} \right )$

4. $\lim_{x \to 0^+}x^a\ln{x},\;a>0$