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Beliebt Rechnen >

limit as x approaches 0 of x/(sin(7x))

Lösung

x \to 0 lim (\frac{x}{sin ( 7 x )})

Lösung

\frac{1}{7}

+1

Dezimale

0.14285 \dots

Schritte zur Lösung

x \to 0 lim (\frac{x}{sin ( 7 x )})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{1}{cos ( 7 x ) \cdot 7})

Setze den Wert

x = 0

ein

= \frac{1}{cos ( 7 \cdot 0 ) \cdot 7}

cos (7 \cdot 0) \cdot 7 = 7

= \frac{1}{7}

Graph

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