Calculus Homework #9 Due 5-4

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

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