What is the sum from n=1 to infinity of pi^{-n} ?

The sum from n=1 to infinity of pi^{-n} is converges

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sum from n=1 to infinity of pi^{-n}

n = 1 \sum \infty π^{- n}

converges

Solution steps

n = 1 \sum \infty π^{- n}

Apply Series Ratio Test:

converges

= converges

\frac{d ^{2}}{d x ^{2}} y = x^{3}

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

\frac{\partial}{\partial x} (e^{2 y} - y cos (x y))

y = e^{x}, y = e^{- 3 x}, x = ln (3)

\frac{\partial}{\partial x} (x y (x - 2) (y - 3))

What is the sum from n=1 to infinity of pi^{-n} ?
The sum from n=1 to infinity of pi^{-n} is converges