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人気のある微分積分 >

limit as x approaches 0+of 7/x-ln(x)

解

x \to 0 + lim (\frac{7}{x} - ln (x))

解

\infty

解答ステップ

x \to 0 + lim (\frac{7}{x} - ln (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{7}{x}) - x \to 0 + lim (ln (x))

x \to 0 + lim (\frac{7}{x}) = \infty

x \to 0 + lim (ln (x)) = - \infty

= \infty - (- \infty)

無限大の特性を適用する:

\infty + \infty = \infty

= \infty

グラフ

人気の例

limit as x approaches-5-of (4x^2-12)/(x+5)

x \to - 5 - lim (\frac{4 x ^{2} - 12}{x + 5})

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x \to \infty lim (- x^{2} + 1)

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