limit as x approaches 0 of (4-4cos(x))/(x^2)

Lösung

x \to 0 lim (\frac{4 - 4 cos ( x )}{x ^{2}})

2

Schritte zur Lösung

x \to 0 lim (\frac{4 - 4 cos ( x )}{x ^{2}})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{4 sin ( x )}{2 x})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{4 cos ( x )}{2})

Setze den Wert

x = 0

ein

= \frac{4 cos ( 0 )}{2}

Vereinfache

\frac{4 cos ( 0 )}{2} : 2

= 2

x \to 0 lim (\frac{2 ∣ x ∣}{2 x})

x \to 3 lim (\frac{5 x}{4} + 3)

t \to \infty lim (3^{- t})

x \to 4 lim ([4 f (x) - 5 g (x)])

x \to 3 - lim (\frac{∣ x ∣ - x}{3 - x})