limit as x approaches 0 of (1-10x)^{1/x}

Lösung

x \to 0 lim ((1 - 10 x)^{\frac{1}{x}})

\frac{1}{e ^{10}}

Dezimale

0.00004 \dots

Schritte zur Lösung

x \to 0 lim ((1 - 10 x)^{\frac{1}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{1}{x} l n (1 - 10 x)})

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{10}}

= \frac{1}{e ^{10}}

x \to \infty + lim (x^{(3)} e^{(- x^{(2)})})

\int x^{11} e^{x^{12}} d x

\int x (2 + x^{2}) d x

n = 1 \sum \infty 4^{- n}

x \to 4 + lim (e^{\frac{7}{( 4 - x )}})