What is the sum from n=0 to infinity of 0.8^n ?

The sum from n=0 to infinity of 0.8^n is 5

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sum from n=0 to infinity of 0.8^n

n = 0 \sum \infty 0. 8^{n}

5

Solution steps

n = 0 \sum \infty 0. 8^{n}

Apply Series Geometric Test:

5

= 5

e^{x} (x + x x)

\frac{d}{d x} (ln (\frac{5 x ^{2} + x + 6}{x ^{3}}))

\int_{0}^{1} 12 e^{3 x} d x

\frac{s}{s ^{2} + 2 \cdot 3 \cdot π \cdot s + π ^{2}}

\frac{d}{d x} ((5 x + e^{x}) (5 - x))

What is the sum from n=0 to infinity of 0.8^n ?
The sum from n=0 to infinity of 0.8^n is 5