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Beliebt Rechnen >

limit as x approaches 0 of (8x)/(sin(x))

Lösung

x \to 0 lim (\frac{8 x}{sin ( x )})

Lösung

8

Schritte zur Lösung

x \to 0 lim (\frac{8 x}{sin ( x )})

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

= 8 \cdot x \to 0 lim (\frac{x}{sin ( x )})

Wende das L'Hopital Theorem an

= 8 \cdot x \to 0 lim (\frac{1}{cos ( x )})

Setze den Wert

x = 0

ein

= 8 \cdot \frac{1}{cos ( 0 )}

Vereinfache

8 \cdot \frac{1}{cos ( 0 )} : 8

= 8

Graph

Beliebte Beispiele

integral of (x^3)/(x^2+100)

\int \frac{x ^{3}}{x ^{2} + 100} d x

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integral from 1 to 4 of e^{sqrt(x)}

\int_{1}^{4} e^{x} d x

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