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Beliebt Rechnen >

limit as x approaches 0 of (4tan(x))/x

Lösung

x \to 0 lim (\frac{4 tan ( x )}{x})

Lösung

4

Schritte zur Lösung

x \to 0 lim (\frac{4 tan ( x )}{x})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 4 \cdot x \to 0 lim (\frac{tan ( x )}{x})

Wende das L'Hopital Theorem an

= 4 \cdot x \to 0 lim (\frac{sec ^{2} ( x )}{1})

Setze den Wert

x = 0

ein

= 4 \cdot \frac{sec ^{2} ( 0 )}{1}

Vereinfache

4 \cdot \frac{sec ^{2} ( 0 )}{1} : 4

= 4

Graph

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