limit as x approaches 0-of (x+5)/x

解

x \to 0 - lim (\frac{x + 5}{x})

- \infty

解答ステップ

x \to 0 - lim (\frac{x + 5}{x})

最高の分母べき乗で割る:

1 + \frac{5}{x}

= x \to 0 - lim (1 + \frac{5}{x})

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 (1) + x \to 0 - lim (\frac{5}{x})

x \to 0 - lim (1) = 1

x \to 0 - lim (\frac{5}{x}) = - \infty

= 1 - \infty

無限大の特性を適用する:

c - \infty = - \infty

= - \infty