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

Lösung

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

e^{3}

Dezimale

20.08553 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

= x \to 1 + lim (e^{\frac{3}{x - 1} l n (x)})

Wende die Kettenregel für Grenzen an:

e^{3}

= e^{3}

x \to \frac{π}{2} lim (cot^{2} (x))

x \to \infty lim (\frac{4}{9})

x \to - \infty lim (8)

x \to 0 lim (- sin (\frac{1}{x}))

x \to 0 lim (x + e^{- x})