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Beliebt Rechnen >

limit as x approaches 0 of (1-x)^{2/x}

Lösung

x \to 0 lim ((1 - x)^{\frac{2}{x}})

Lösung

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

+1

Dezimale

0.13533 \dots

Schritte zur Lösung

x \to 0 lim ((1 - x)^{\frac{2}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{2}{x} l n (1 - x)})

Wende die Kettenregel für Grenzen an:

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

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

Graph

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\int \frac{1}{2 + 4 x ^{2}} d x

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n = 0 \sum \infty sin (π \cdot n)