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

Lösung

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

\frac{1}{2}

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}

s l o p e y = x^{2} - 2 x - 3, (2, - 3)

\frac{\partial}{\partial x} (x y)

\frac{d}{d x} ((\frac{x}{y ^{2}}) - (\frac{y}{x ^{2}}))

in v erse l a pl a ce \frac{1}{s + 1} \cdot \frac{1}{s}

n = 0 \sum \infty n (\frac{1}{4})^{n}