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Beliebt Rechnen >

sum from n=0 to infinity of (2^n)/(4^n)

Lösung

n = 0 \sum \infty \frac{2 ^{n}}{4 ^{n}}

Lösung

2

Schritte zur Lösung

n = 0 \sum \infty \frac{2 ^{n}}{4 ^{n}}

Vereinfache

\frac{2 ^{n}}{4 ^{n}} : (\frac{1}{2})^{n}

= n = 0 \sum \infty (\frac{1}{2})^{n}

Geometrischen Test der Reihe anwenden:

2

= 2

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