limit as x approaches 0+of (1+2/x)^{5x}

Lösung

x \to 0 + lim ((1 + \frac{2}{x})^{5 x})

1

Schritte zur Lösung

x \to 0 + lim ((1 + \frac{2}{x})^{5 x})

Wende Exponentenregel an

= x \to 0 + lim (e^{5 x l n (1 + \frac{2}{x})})

Wende die Kettenregel für Grenzen an:

1

= 1

x \to 2 lim (\frac{1 + x}{x ^{2} - 4})

x \to \frac{π}{2} + lim (x^{2} tan (x))

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

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

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