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Beliebt Rechnen >

limit as θ approaches 0 of (cos(θ)-1)/(sin(θ))

Lösung

θ \to 0 lim (\frac{cos ( θ ) - 1}{sin ( θ )})

Lösung

0

Schritte zur Lösung

θ \to 0 lim (\frac{cos ( θ ) - 1}{sin ( θ )})

Wende das L'Hopital Theorem an

= θ \to 0 lim (\frac{- sin ( θ )}{cos ( θ )})

Setze den Wert

θ = 0

ein

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

Vereinfache

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

= 0

Graph

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