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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{1}{e}

+1

Dezimale

0.60653 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

\frac{1}{e}

= \frac{1}{e}

Graph

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