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Beliebt Rechnen >

limit as x approaches-infinity of (1+3/x)^{x/4}

Lösung

x \to - \infty lim ((1 + \frac{3}{x})^{\frac{x}{4}})

Lösung

e^{\frac{3}{4}}

+1

Dezimale

2.11700 \dots

Schritte zur Lösung

x \to - \infty lim ((1 + \frac{3}{x})^{\frac{x}{4}})

Wende Exponentenregel an

= x \to - \infty lim (e^{\frac{x}{4} l n (1 + \frac{3}{x})})

Wende die Kettenregel für Grenzen an:

e^{\frac{3}{4}}

= e^{\frac{3}{4}}

Graph

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