limit as x approaches 0-of (4-x)/x

解

x \to 0 - lim (\frac{4 - x}{x})

- \infty

解答ステップ

x \to 0 - lim (\frac{4 - x}{x})

最高の分母べき乗で割る:

\frac{4}{x} - 1

= x \to 0 - lim (\frac{4}{x} - 1)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

不定形式の場合を除く

= x \to 0 - lim (\frac{4}{x}) - x \to 0 - lim (1)

x \to 0 - lim (\frac{4}{x}) = - \infty

x \to 0 - lim (1) = 1

= - \infty - 1

無限大の特性を適用する:

- \infty - c = - \infty

= - \infty