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Beliebt Rechnen >

limit as x approaches 0 of (1+x/2)^{3/x}

Lösung

x \to 0 lim ((1 + \frac{x}{2})^{\frac{3}{x}})

Lösung

e^{\frac{3}{2}}

+1

Dezimale

4.48168 \dots

Schritte zur Lösung

x \to 0 lim ((1 + \frac{x}{2})^{\frac{3}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{3}{x} l n (1 + \frac{x}{2})})

Wende die Kettenregel für Grenzen an:

e^{\frac{3}{2}}

= e^{\frac{3}{2}}

Graph

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