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Beliebt Rechnen >

limit as x approaches infinity of (e^{2x})/(5^{2x)}

Lösung

x \to \infty lim (\frac{e ^{2 x}}{5 ^{2 x}})

Lösung

0

Schritte zur Lösung

x \to \infty lim (\frac{e ^{2 x}}{5 ^{2 x}})

Vereinfache

\frac{e ^{2 x}}{5 ^{2 x}} : (\frac{e}{5})^{2 x}

= x \to \infty lim ((\frac{e}{5})^{2 x})

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

0

= 0

Graph

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