What is the sum from n=0 to infinity of (0.9)^n ?

The sum from n=0 to infinity of (0.9)^n is 10

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sum from n=0 to infinity of (0.9)^n

n = 0 \sum \infty (0.9)^{n}

10

Solution steps

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

Apply Series Geometric Test:

10

= 10

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What is the sum from n=0 to infinity of (0.9)^n ?
The sum from n=0 to infinity of (0.9)^n is 10