limit as x approaches 0 of (e^x+x)^{8/x}

Lösung

x \to 0 lim ((e^{x} + x)^{\frac{8}{x}})

e^{16}

Dezimale

8886110.52050 \dots

Schritte zur Lösung

x \to 0 lim ((e^{x} + x)^{\frac{8}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{8}{x} l n (e^{x} + x)})

Wende die Kettenregel für Grenzen an:

e^{16}

= e^{16}

\int \frac{1}{x 1 + ln ( x )} d x

\int_{0}^{\frac{π}{2}} sin (t) d t

\frac{d}{d x} (\frac{e ^{x}}{4 x})

\int_{0}^{4} (2 x)^{2} d x

a re a 9 x, 1, 9