limit as x approaches 0+of (1-9x)^{9/x}

Lösung

x \to 0 + lim ((1 - 9 x)^{\frac{9}{x}})

\frac{1}{e ^{81}}

Dezimale

6.63968 E - 36

Schritte zur Lösung

x \to 0 + lim ((1 - 9 x)^{\frac{9}{x}})

Wende Exponentenregel an

= x \to 0 + lim (e^{\frac{9}{x} l n (1 - 9 x)})

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{81}}

= \frac{1}{e ^{81}}

x \to - 4 lim (sin (- π x))

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

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

x \to 0 lim (sin (x - 1))

x \to - 2 + lim (x^{2} - 4 x + 6)