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Beliebt Rechnen >

limit as x approaches 0 of x/(2x+sin(x))

Lösung

x \to 0 lim (\frac{x}{2 x + sin ( x )})

Lösung

\frac{1}{3}

+1

Dezimale

0.33333 \dots

Schritte zur Lösung

x \to 0 lim (\frac{x}{2 x + sin ( x )})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{1}{2 + cos ( x )})

Setze den Wert

x = 0

ein

= \frac{1}{2 + cos ( 0 )}

2 + cos (0) = 3

= \frac{1}{3}

Graph

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