limit as x approaches 0+of x-1/x+3

解

x \to 0 + lim (x - \frac{1}{x} + 3)

- \infty

解答ステップ

x \to 0 + lim (x - \frac{1}{x} + 3)

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{1}{x}) + x \to 0 + lim (3)

x \to 0 + lim (x) = 0

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

x \to 0 + lim (3) = 3

= 0 - \infty + 3

簡素化

0 - \infty + 3 : - \infty

= - \infty