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Beliebt Rechnen >

limit as θ approaches 0 of (sin(5θ))/(sin(2θ))

Lösung

θ \to 0 lim (\frac{sin ( 5 θ )}{sin ( 2 θ )})

Lösung

\frac{5}{2}

+1

Dezimale

2.5

Schritte zur Lösung

θ \to 0 lim (\frac{sin ( 5 θ )}{sin ( 2 θ )})

Wende das L'Hopital Theorem an

= θ \to 0 lim (\frac{cos ( 5 θ ) \cdot 5}{cos ( 2 θ ) \cdot 2})

Setze den Wert

θ = 0

ein

= \frac{cos ( 5 \cdot 0 ) \cdot 5}{cos ( 2 \cdot 0 ) \cdot 2}

Vereinfache

\frac{cos ( 5 \cdot 0 ) \cdot 5}{cos ( 2 \cdot 0 ) \cdot 2} : \frac{5}{2}

= \frac{5}{2}

Graph

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