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Beliebt Rechnen >

limit as x approaches 2 of (((3x+2))/(5x-2))^{((3))/(x-2)}

Lösung

x \to 2 lim (\frac{( 3 x + 2 )}{5 x - 2})^{\frac{( 3 )}{x - 2}}

Lösung

\frac{1}{e ^{\frac{3}{4}}}

+1

Dezimale

0.47236 \dots

Schritte zur Lösung

x \to 2 lim ((\frac{3 x + 2}{5 x - 2})^{\frac{3}{x - 2}})

Wende Exponentenregel an

= x \to 2 lim (e^{\frac{3}{x - 2} l n (\frac{3 x + 2}{5 x - 2})})

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{\frac{3}{4}}}

= \frac{1}{e ^{\frac{3}{4}}}

Graph

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