limit as x approaches infinity of (1+b/x)^{kx}

Lösung

x \to \infty lim ((1 + \frac{b}{x})^{k x})

e^{bk}

Schritte zur Lösung

x \to \infty lim ((1 + \frac{b}{x})^{k x})

Wende Exponentenregel an

= x \to \infty lim (e^{k x l n (1 + \frac{b}{x})})

Wende die Kettenregel für Grenzen an:

e^{bk}

= e^{bk}

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

x \to 0 + lim (\frac{1}{4 x} - 5)

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

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

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