limit as x approaches 1+of x^{8/(x-1)}

Lösung

x \to 1 + lim (x^{\frac{8}{x - 1}})

e^{8}

Dezimale

2980.95798 \dots

Schritte zur Lösung

x \to 1 + lim (x^{\frac{8}{x - 1}})

Wende Exponentenregel an

= x \to 1 + lim (e^{\frac{8}{x - 1} l n (x)})

Wende die Kettenregel für Grenzen an:

e^{8}

= e^{8}

x \to - 7 - lim (\frac{∣ x + 7 ∣}{x + 7})

x \to 0 lim (\frac{ln ( 2 x + 1 )}{x})

x \to \infty lim (\frac{1}{2} \cdot x)

x \to - 2 lim (9 - x^{2})

x \to 1 lim (\frac{ln ( x )}{1 - 1})