問題：次の式を計算せよ

• (1) \( \displaystyle \lim_{x \to 0} \dfrac{x - \sin x}{2x^3} \)


• (2) \( \displaystyle \lim_{x \to \infty} \dfrac{\log x}{x} \)


• (3) \( \displaystyle \lim_{x \to \infty} x^{\frac{1}{x}} \)


• (4) \( \displaystyle \lim_{x \to \infty} \dfrac{x - \cos x}{x} \)


• (5) \( \displaystyle \lim_{x \to \infty} x\log \biggl( \dfrac{x-1}{x+1} \biggr) \)