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Beliebt Rechnen >

limit as x approaches 0+of \sqrt[5]{x}ln(x)

Lösung

Lösung

0

Schritte zur Lösung

Umformung für L'Hopital

Wende das L'Hopital Theorem an

= x \to 0 + lim (\frac{\frac{1}{x}}{- \frac{1}{5 x ^{\frac{6}{5}}}})

Vereinfache

\frac{\frac{1}{x}}{- \frac{1}{5 x ^{\frac{6}{5}}}} : - 5 x^{\frac{1}{5}}

= x \to 0 + lim (- 5 x^{\frac{1}{5}})

Setze den Wert

x = 0

ein

= - 5 \cdot 0^{\frac{1}{5}}

Vereinfache

= 0

Graph

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