What is the sum from n=0 to infinity of (1^n)/(3^n) ?

The sum from n=0 to infinity of (1^n)/(3^n) is converges

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sum from n=0 to infinity of (1^n)/(3^n)

n = 0 \sum \infty \frac{1 ^{n}}{3 ^{n}}

converges

Solution steps

n = 0 \sum \infty \frac{1 ^{n}}{3 ^{n}}

Apply Series Ratio Test:

converges

= converges

\int - \frac{4 x + 10}{x ^{3}} d x

x \to 0 - lim (\frac{4}{tan ( x )})

\int e^{- s t} \cdot t d t

9 arcsec (x)

\frac{\partial}{\partial y} (x y (\frac{1}{y ^{3}} + 2))

What is the sum from n=0 to infinity of (1^n)/(3^n) ?
The sum from n=0 to infinity of (1^n)/(3^n) is converges