limit as x approaches-4-of x^2+5/(x+4)

解

x \to - 4 - lim (x^{2} + \frac{5}{x + 4})

- \infty

解答ステップ

x \to - 4 - lim (x^{2} + \frac{5}{x + 4})

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 - 4 - lim (x^{2}) + x \to - 4 - lim (\frac{5}{x + 4})

x \to - 4 - lim (x^{2}) = 16

x \to - 4 - lim (\frac{5}{x + 4}) = - \infty

= 16 - \infty

無限大の特性を適用する:

c - \infty = - \infty

= - \infty