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Beliebt Rechnen >

limit as x approaches 0 of (1+x)^{7/x}

Lösung

x \to 0 lim ((1 + x)^{\frac{7}{x}})

Lösung

e^{7}

+1

Dezimale

1096.63315 \dots

Schritte zur Lösung

x \to 0 lim ((1 + x)^{\frac{7}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{7}{x} l n (1 + x)})

Wende die Kettenregel für Grenzen an:

e^{7}

= e^{7}

Graph

Beliebte Beispiele

k((dx)/(dt))=x+15

k (\frac{d x}{d t}) = x + 15

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\int_{0}^{10} x d x

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limit as x approaches 2 of (2x-8)/(x-1)

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