limit as x approaches 0 of (1+8x)^{6/x}

Lösung

x \to 0 lim ((1 + 8 x)^{\frac{6}{x}})

e^{48}

Dezimale

7.01674 E 20

Schritte zur Lösung

x \to 0 lim ((1 + 8 x)^{\frac{6}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{6}{x} l n (1 + 8 x)})

Wende die Kettenregel für Grenzen an:

e^{48}

= e^{48}

s im pl i f y \frac{4 - 3 x - x ^{2}}{x ^{2} - 1}

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\int_{\frac{1}{2}}^{3} \frac{1}{x ^{2}} d x

\int_{0}^{2 π} (x^{2} sin (2 x)) d x

\frac{d}{d x} (cos (x) + i sin (x))