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Beliebt Rechnen >

sum from n=0 to infinity of 9^{-n}

Lösung

n = 0 \sum \infty 9^{- n}

Lösung

\frac{9}{8}

+1

Dezimale

1.125

Schritte zur Lösung

n = 0 \sum \infty 9^{- n}

Vereinfache

9^{- n} : \frac{1}{9 ^{n}}

= n = 0 \sum \infty \frac{1}{9 ^{n}}

Geometrischen Test der Reihe anwenden:

\frac{9}{8}

= \frac{9}{8}

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