limit as x approaches 0+of (6csc(x))/(cot(x))

Lösung

x \to 0 + lim (\frac{6 csc ( x )}{cot ( x )})

6

Schritte zur Lösung

x \to 0 + lim (\frac{6 csc ( x )}{cot ( x )})

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

= 6 \cdot x \to 0 + lim (\frac{csc ( x )}{cot ( x )})

Vereinfache

\frac{csc ( x )}{cot ( x )} : sec (x)

= 6 \cdot x \to 0 + lim (sec (x))

Setze den Wert

x = 0

ein

= 6 sec (0)

Vereinfache

6 sec (0) : 6

= 6

x \to - 2 lim ((4 x + 7) (5 x + 9))

x \to \frac{2 π}{3} lim (\frac{cot ( x ) + \frac{3}{3}}{x - \frac{2 π}{3}})

y \to 2 lim (ln (sin (\frac{π}{y})))

x \to \infty lim (\frac{6}{4})

x \to \infty lim (- 1, x)