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Beliebt Rechnen >

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

Lösung

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

Lösung

- 2

Schritte zur Lösung

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

Wende das L'Hopital Theorem an

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

Wende das L'Hopital Theorem an

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

Setze den Wert

w = 0

ein

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

Vereinfache

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

= - 2

Graph

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