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Beliebt Rechnen >

limit as x approaches 0 of (5x)/(sin(x))

Lösung

x \to 0 lim (\frac{5 x}{sin ( x )})

Lösung

5

Schritte zur Lösung

x \to 0 lim (\frac{5 x}{sin ( x )})

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

= 5 \cdot x \to 0 lim (\frac{x}{sin ( x )})

Wende das L'Hopital Theorem an

= 5 \cdot x \to 0 lim (\frac{1}{cos ( x )})

Setze den Wert

x = 0

ein

= 5 \cdot \frac{1}{cos ( 0 )}

Vereinfache

5 \cdot \frac{1}{cos ( 0 )} : 5

= 5

Graph

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