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Beliebt Rechnen >

limit as x approaches 0+of (cos(x)-1)/x

Lösung

x \to 0 + lim (\frac{cos ( x ) - 1}{x})

Lösung

0

Schritte zur Lösung

x \to 0 + lim (\frac{cos ( x ) - 1}{x})

Wende das L'Hopital Theorem an

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

Setze den Wert

x = 0

ein

= \frac{- sin ( 0 )}{1}

Vereinfache

\frac{- sin ( 0 )}{1} : 0

= 0

Graph

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