What is the sum from n=0 to infinity of (0.5)^n ?

The sum from n=0 to infinity of (0.5)^n is 2

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sum from n=0 to infinity of (0.5)^n

n = 0 \sum \infty (0.5)^{n}

2

Solution steps

n = 0 \sum \infty 0. 5^{n}

Apply Series Geometric Test:

2

= 2

\frac{1}{s ^{2} + 2 s + 5}

\frac{d}{d t} (t \cdot cos (t))

f (x) = \frac{5}{2 x}

\int (2 y - 3 y^{4} - y^{3}) \frac{1}{y} d y

y^{^{'}} + y + 3 cos (x) = 0

What is the sum from n=0 to infinity of (0.5)^n ?
The sum from n=0 to infinity of (0.5)^n is 2