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Beliebt Rechnen >

limit as x approaches 0 of (1-5x)^{5/x}

Lösung

x \to 0 lim ((1 - 5 x)^{\frac{5}{x}})

Lösung

\frac{1}{e ^{25}}

+1

Dezimale

1.38879 E - 11

Schritte zur Lösung

x \to 0 lim ((1 - 5 x)^{\frac{5}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{5}{x} l n (1 - 5 x)})

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{25}}

= \frac{1}{e ^{25}}

Graph

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