What is the sum from n=1 to infinity of 3/(pi^n) ?

The sum from n=1 to infinity of 3/(pi^n) is converges

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sum from n=1 to infinity of 3/(pi^n)

n = 1 \sum \infty \frac{3}{π ^{n}}

converges

Solution steps

n = 1 \sum \infty \frac{3}{π ^{n}}

Apply the constant multiplication rule:

\sum c \cdot a_{n} = c \cdot \sum a_{n}

= 3 \cdot n = 1 \sum \infty \frac{1}{π ^{n}}

Apply Series Ratio Test:

converges

= 3 converges

= converges

x^{\frac{1}{3}} - x^{- \frac{2}{3}}

x \to + 0 lim (2 x^{2} cos (\frac{5}{x}))

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

\frac{d}{d x} (\frac{3}{5 + x})

\int \frac{1}{x + 4} d x

What is the sum from n=1 to infinity of 3/(pi^n) ?
The sum from n=1 to infinity of 3/(pi^n) is converges