limit as x approaches 0-of (1-e^x)^x

Lösung

x \to 0 - lim ((1 - e^{x})^{x})

1

Schritte zur Lösung

x \to 0 - lim ((1 - e^{x})^{x})

Wende Exponentenregel an

= x \to 0 - lim (e^{x l n (1 - e^{x})})

Wende die Kettenregel für Grenzen an:

1

= 1

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

x \to \infty lim (\frac{4 x ^{2} - 5 x}{1 - 3 x ^{2}})

x \to \infty lim (\frac{ln ( 3 x )}{x})

x \to \infty lim ((\frac{x + 7}{x + 3})^{2 x})

x \to 0 lim (sin^{s i n (x)} (x))