What is the sum from n=0 to infinity of (1/2)^n ?

The sum from n=0 to infinity of (1/2)^n is 2

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sum from n=0 to infinity of (1/2)^n

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

2

Solution steps

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

Apply Series Geometric Test:

2

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What is the sum from n=0 to infinity of (1/2)^n ?
The sum from n=0 to infinity of (1/2)^n is 2