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Beliebt Rechnen >

limit as x approaches 0 of x(csc(4x))

Lösung

x \to 0 lim (x (csc (4 x)))

Lösung

\frac{1}{4}

+1

Dezimale

0.25

Schritte zur Lösung

x \to 0 lim (x csc (4 x))

Drücke mit sin, cos aus

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

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{1}{cos ( 4 x ) \cdot 4})

Setze den Wert

x = 0

ein

= \frac{1}{cos ( 4 \cdot 0 ) \cdot 4}

cos (4 \cdot 0) \cdot 4 = 4

= \frac{1}{4}

Graph

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