limit as x approaches 2 of (x-1)^{6/((x-2))}

Lösung

x \to 2 lim ((x - 1)^{\frac{6}{( x - 2 )}})

e^{6}

Dezimale

403.42879 \dots

Schritte zur Lösung

x \to 2 lim ((x - 1)^{\frac{6}{x - 2}})

Wende Exponentenregel an

= x \to 2 lim (e^{\frac{6}{x - 2} l n (x - 1)})

Wende die Kettenregel für Grenzen an:

e^{6}

= e^{6}

x \to \infty lim ((\frac{4 x ^{3} - 1}{3 x ^{2} + 2}) sin (\frac{1}{x}))

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

x \to 0 lim (x ln (x^{4}))

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

x \to 0 lim (\frac{3 x - sin ( x )}{x})