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Beliebt Rechnen >

limit as x approaches 3 of ((1+1)/x)^3x

Lösung

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

Lösung

\frac{8}{9}

+1

Dezimale

0.88888 \dots

Schritte zur Lösung

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

Setze den Wert

x = 3

ein

= (\frac{1 + 1}{3})^{3} \cdot 3

Vereinfache

(\frac{1 + 1}{3})^{3} \cdot 3 : \frac{8}{9}

= \frac{8}{9}

Graph

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