limit as x approaches 0-of (9sin(x))/x

Lösung

x \to 0 - lim (\frac{9 sin ( x )}{x})

9

Schritte zur Lösung

x \to 0 - lim (\frac{9 sin ( x )}{x})

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

= 9 \cdot x \to 0 - lim (\frac{sin ( x )}{x})

Wende das L'Hopital Theorem an

= 9 \cdot x \to 0 - lim (\frac{cos ( x )}{1})

Setze den Wert

x = 0

ein

= 9 \cdot \frac{cos ( 0 )}{1}

Vereinfache

9 \cdot \frac{cos ( 0 )}{1} : 9

= 9

θ \to \frac{π}{6} lim (\frac{sin ( 2 θ )}{sin ( θ ) tan ( θ )})

x \to \infty lim (40)

x \to 2 - lim (ln (4 - x^{2}))

x \to 0 lim (x^{2} cos (\frac{π}{x}))

x \to 0 lim (- 1 + ln (x) x)