limit as x approaches infinity of (1+(0.02)/x)^{2x}

Lösung

x \to \infty lim ((1 + \frac{0.02}{x})^{2 x})

1.04081 \dots

Schritte zur Lösung

x \to \infty lim ((1 + \frac{0.02}{x})^{2 x})

Wende Exponentenregel an

= x \to \infty lim (e^{2 x l n (1 + \frac{0.02}{x})})

Wende die Kettenregel für Grenzen an:

1.04081 \dots

= 1.04081 \dots

x \to 0 lim (3 x^{2} + 2)

x \to \infty lim ((\frac{2 x + 1}{x + 3})^{\frac{3 x + 2}{x - 5}})

x \to 0 lim (\frac{sin ( x )}{arcsin ( x )})

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x \to 1 + lim (lo g_{x} (\frac{1}{3}))