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Beliebt Rechnen >

limit as x approaches+0 of (x^2)/(1-cos(x))

Lösung

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

Lösung

2

Schritte zur Lösung

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

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{2 x}{sin ( x )})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{2}{cos ( x )})

Setze den Wert

x = 0

ein

= \frac{2}{cos ( 0 )}

Vereinfache

\frac{2}{cos ( 0 )} : 2

= 2

Graph

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