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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{1}{e ^{3}}

+1

Dezimale

0.04978 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{3}}

= \frac{1}{e ^{3}}

Graph

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