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Beliebt Rechnen >

limit as x approaches 0+of x^{-(17)/(ln(x))}

Lösung

x \to 0 + lim (x^{- \frac{17}{l n ( x )}})

Lösung

\frac{1}{e ^{17}}

+1

Dezimale

4.13994 E - 8

Schritte zur Lösung

x \to 0 + lim (x^{- \frac{17}{l n ( x )}})

Wende Exponentenregel an

= x \to 0 + lim (e^{- \frac{17}{l n ( x )} l n (x)})

e^{- \frac{17}{l n ( x )} l n (x)} = \frac{1}{e ^{17}}

= x \to 0 + lim (\frac{1}{e ^{17}})

x \to a lim c = c

= \frac{1}{e ^{17}}

Graph

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