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Beliebt Rechnen >

limit as x approaches 0 of x(cot(2x))

Lösung

x \to 0 lim (x (cot (2 x)))

Lösung

\frac{1}{2}

+1

Dezimale

0.5

Schritte zur Lösung

x \to 0 lim (x cot (2 x))

Umformung für L'Hopital

= x \to 0 lim (\frac{x}{\frac{1}{c o t ( 2 x )}})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{1}{sec ^{2} ( 2 x ) \cdot 2})

Setze den Wert

x = 0

ein

= \frac{1}{sec ^{2} ( 2 \cdot 0 ) \cdot 2}

sec^{2} (2 \cdot 0) \cdot 2 = 2

= \frac{1}{2}

Graph

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\int_{0}^{4} (13 - t) t d t

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\frac{d y}{d x} sin (x + y) = 0