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Beliebt Rechnen >

limit as x approaches 0 of ((1-x)^n-1)/x

Lösung

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

Lösung

- n

Schritte zur Lösung

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

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{- n ( - x + 1 ) ^{n - 1}}{1})

Setze den Wert

x = 0

ein

= \frac{- n ( - 0 + 1 ) ^{n - 1}}{1}

Vereinfache

= - n

Graph

Beliebte Beispiele

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\int \frac{2 x ^{3}}{( x ^{2} + 1 ) ^{2}} d x