limit as x approaches+0+of (36-4x^2)/x

解

x \to + 0 + lim (\frac{36 - 4 x ^{2}}{x})

\infty

解答ステップ

x \to 0 + lim (\frac{36 - 4 x ^{2}}{x})

拡張

\frac{36 - 4 x ^{2}}{x} : \frac{36}{x} - 4 x

= x \to 0 + lim (\frac{36}{x} - 4 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 (\frac{36}{x}) - x \to 0 + lim (4 x)

x \to 0 + lim (\frac{36}{x}) = \infty

x \to 0 + lim (4 x) = 0

= \infty - 0

無限大の特性を適用する:

\infty - c = \infty

= \infty