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Beliebt Rechnen >

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

Lösung

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

Lösung

- 2

Schritte zur Lösung

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

Wende das L'Hopital Theorem an

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

Setze den Wert

x = 0

ein

= \frac{- 2 e ^{- 2 \cdot 0}}{1}

Vereinfache

= - 2

Graph

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