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Beliebt Rechnen >

limit as x approaches infinity of (1-2/x)^{8x}

Lösung

x \to \infty lim ((1 - \frac{2}{x})^{8 x})

Lösung

\frac{1}{e ^{16}}

+1

Dezimale

1.12535 E - 7

Schritte zur Lösung

x \to \infty lim ((1 - \frac{2}{x})^{8 x})

Wende Exponentenregel an

= x \to \infty lim (e^{8 x l n (1 - \frac{2}{x})})

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{16}}

= \frac{1}{e ^{16}}

Graph

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