limit as x approaches 0 of (1+2x)^{6/x}

Lösung

x \to 0 lim ((1 + 2 x)^{\frac{6}{x}})

e^{12}

Dezimale

162754.79141 \dots

Schritte zur Lösung

x \to 0 lim ((1 + 2 x)^{\frac{6}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{6}{x} l n (1 + 2 x)})

Wende die Kettenregel für Grenzen an:

e^{12}

= e^{12}

n = 2 \sum \infty ln (ln (n))

x \to 3 lim (3 x - 5)

\int + t ln (t + 5) d t

\frac{d}{d x} (\frac{3}{2 + tan ( x )})

\int \frac{tan ( x )}{sin ( x ) cos ( x )} d x