limit as x approaches 1 of (x^3-1)^{2/3}

Lösung

x \to 1 lim ((x^{3} - 1)^{\frac{2}{3}})

0

Schritte zur Lösung

x \to 1 lim ((x^{3} - 1)^{\frac{2}{3}})

Setze den Wert

x = 1

ein

= (1^{3} - 1)^{\frac{2}{3}}

Vereinfache

= 0

t \to - 1 lim (\frac{t + 1}{∣ t + 1 ∣})

x \to 0 lim (\frac{5 x + sin ( x )}{x})

x \to 0 lim (x^{2} + 4 x)

x \to 0 lim (\frac{( 1 - cos ( 4 x ) )}{5 x ^{2}})

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