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Beliebt Rechnen >

limit as x approaches 0 of (x+e^{x/6})^{6/x}

Lösung

x \to 0 lim ((x + e^{\frac{x}{6}})^{\frac{6}{x}})

Lösung

e^{7}

+1

Dezimale

1096.63315 \dots

Schritte zur Lösung

x \to 0 lim ((x + e^{\frac{x}{6}})^{\frac{6}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{6}{x} l n (x + e^{\frac{x}{6}})})

Wende die Kettenregel für Grenzen an:

e^{7}

= e^{7}

Graph

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