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

Lösung

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

1

Schritte zur Lösung

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

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

1

= 1

x \to - 1 lim (\frac{f ( x ) g ( x )}{3})

x \to \infty lim (18)

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

x \to 0 lim (+ x^{t a n (x)})

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