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Beliebt Rechnen >

limit as x approaches+0 of (sin(4x))/(tan(2x))

Lösung

x \to + 0 lim (\frac{sin ( 4 x )}{tan ( 2 x )})

Lösung

2

Schritte zur Lösung

x \to 0 lim (\frac{sin ( 4 x )}{tan ( 2 x )})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{cos ( 4 x ) \cdot 4}{sec ^{2} ( 2 x ) \cdot 2})

Setze den Wert

x = 0

ein

= \frac{cos ( 4 \cdot 0 ) \cdot 4}{sec ^{2} ( 2 \cdot 0 ) \cdot 2}

Vereinfache

\frac{cos ( 4 \cdot 0 ) \cdot 4}{sec ^{2} ( 2 \cdot 0 ) \cdot 2} : 2

= 2

Graph

Beliebte Beispiele

derivative f(x)=ax+b

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d er i v a t i v e y = x (x^{4} + 1)

integral from 0 to 1 of arcsin(w)

\int_{0}^{1} arcsin (w) d w

limit as x approaches 0+of x^{sqrt(x)}

x \to 0 + lim (x^{x})