関数の極限(3)

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(1)
$\begin{array}{r} lim_{x \to 0} \frac{1 - \cos 2 x}{x^{2}} \end{array}$
(2)
$\begin{array}{r} lim_{x \to 0} \frac{\sin 3 x}{x} \end{array}$
(3)
$\begin{array}{r} lim_{x \to π} \frac{\sin x}{x - π} \end{array}$

(1)
$\begin{aligned} lim_{x \to 0} \frac{1 - \cos 2 x}{x^{2}} & = lim_{x \to 0} \frac{2 \sin 2 x}{2 x} \\ = 2 \end{aligned}$
(2)
$\begin{aligned} lim_{x \to 0} \frac{\sin 3 x}{x} & = 3 lim_{x \to 0} \frac{\sin 3 x}{3 x} \\ = 3 \end{aligned}$
(3)
$\begin{aligned} lim_{x \to π} \frac{\sin x}{x - π} & = lim_{x \to π} \frac{\cos x}{1} \\ = - 1 \end{aligned}$