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Beliebt Rechnen >

limit as x approaches infinity of (1-1/(4x))^{8x}

Lösung

x \to \infty lim ((1 - \frac{1}{4 x})^{8 x})

Lösung

\frac{1}{e ^{2}}

+1

Dezimale

0.13533 \dots

Schritte zur Lösung

x \to \infty lim ((1 - \frac{1}{4 x})^{8 x})

Wende Exponentenregel an

= x \to \infty lim (e^{8 x l n (1 - \frac{1}{4 x})})

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{2}}

= \frac{1}{e ^{2}}

Graph

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