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Beliebt Rechnen >

limit as x approaches 0 of (sin(5x))/(sin(10x))

Lösung

x \to 0 lim (\frac{sin ( 5 x )}{sin ( 10 x )})

Lösung

\frac{1}{2}

+1

Dezimale

0.5

Schritte zur Lösung

x \to 0 lim (\frac{sin ( 5 x )}{sin ( 10 x )})

Wenn

x \to a - lim f (x) = x \to a + lim f (x) = L

dann

x \to a lim f (x) = L

x \to 0 - lim (\frac{sin ( 5 x )}{sin ( 10 x )}) = \frac{1}{2}

x \to 0 + lim (\frac{sin ( 5 x )}{sin ( 10 x )}) = \frac{1}{2}

= \frac{1}{2}

Graph

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