limit as x approaches 0 of-cot(x)csc(x)

Lösung

x \to 0 lim (- cot (x) csc (x))

- \infty

Schritte zur Lösung

x \to 0 lim (- cot (x) csc (x))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - x \to 0 lim (cot (x) csc (x))

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

mit Einschränkung des unbestimmten Ausdrucks

= - x \to 0 lim (cot (x)) \cdot x \to 0 lim (csc (x))

x \to 0 lim (cot (x)) = \infty

x \to 0 lim (csc (x)) = \infty

= - \infty \cdot \infty

Wende die Unendlichkeitseigenschaft an:

- \infty \infty = - \infty

= - \infty

x \to 3 lim (x^{2} + 5 x - 8)

x \to 0 lim (1 + \frac{sin ( x )}{x})

x \to 4 lim (\frac{1}{( x - 4 )})

x \to 6 lim (14 x^{2} - 3 x + 30)

x \to \frac{π}{3} + lim (\frac{1 - cos ( 3 x )}{sin ( 3 x )})