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Beliebt Rechnen >

limit as x approaches 0+of ln(x)-1/x

Lösung

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

Lösung

- \infty

Schritte zur Lösung

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

mit Einschränkung des unbestimmten Ausdrucks

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

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

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

= - \infty - \infty

Wende die Unendlichkeitseigenschaft an:

- \infty - \infty = - \infty

= - \infty

Graph

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