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Beliebt Rechnen >

limit as x approaches 0 of (tan(9x))/x

Lösung

x \to 0 lim (\frac{tan ( 9 x )}{x})

Lösung

9

Schritte zur Lösung

x \to 0 lim (\frac{tan ( 9 x )}{x})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{sec ^{2} ( 9 x ) \cdot 9}{1})

Setze den Wert

x = 0

ein

= \frac{sec ^{2} ( 9 \cdot 0 ) \cdot 9}{1}

Vereinfache

\frac{sec ^{2} ( 9 \cdot 0 ) \cdot 9}{1} : 9

= 9

Graph

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