limit as x approaches 0+of (1+6/x)^{2x}

Lösung

x \to 0 + lim ((1 + \frac{6}{x})^{2 x})

1

Schritte zur Lösung

x \to 0 + lim ((1 + \frac{6}{x})^{2 x})

Wende Exponentenregel an

= x \to 0 + lim (e^{2 x l n (1 + \frac{6}{x})})

Wende die Kettenregel für Grenzen an:

1

= 1

x \to 8 lim (\frac{2}{x - 8})

x \to 0 + lim ((5 x)^{6 x})

x \to 5 lim (\frac{5 x}{5 - x})

x \to π lim (tan (\frac{3 x}{4}))

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