limit as x approaches 0-of (x^3+4)/(x^2)

解

x \to 0 - lim (\frac{x ^{3} + 4}{x ^{2}})

\infty

解答ステップ

x \to 0 - lim (\frac{x ^{3} + 4}{x ^{2}})

最高の分母べき乗で割る:

x + \frac{4}{x ^{2}}

= x \to 0 - lim (x + \frac{4}{x ^{2}})

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 (x) + x \to 0 - lim (\frac{4}{x ^{2}})

x \to 0 - lim (x) = 0

x \to 0 - lim (\frac{4}{x ^{2}}) = \infty

= 0 + \infty

無限大の特性を適用する:

c + \infty = \infty

= \infty