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Beliebt Rechnen >

limit as x approaches 0 of (sin(13x))/x

Lösung

x \to 0 lim (\frac{sin ( 13 x )}{x})

Lösung

13

Schritte zur Lösung

x \to 0 lim (\frac{sin ( 13 x )}{x})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{cos ( 13 x ) \cdot 13}{1})

Setze den Wert

x = 0

ein

= \frac{cos ( 13 \cdot 0 ) \cdot 13}{1}

Vereinfache

\frac{cos ( 13 \cdot 0 ) \cdot 13}{1} : 13

= 13

Graph

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