What is the sum from n=0 to infinity of (8/9)^n ?

The sum from n=0 to infinity of (8/9)^n is 9

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sum from n=0 to infinity of (8/9)^n

n = 0 \sum \infty (\frac{8}{9})^{n}

9

Solution steps

n = 0 \sum \infty (\frac{8}{9})^{n}

Apply Series Geometric Test:

9

= 9

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

\int \frac{2 x}{x} d x

x \to 0 lim (+ (e^{x}))

\int (3 x + 1)^{2} d x

e^{- 0.5 x}

What is the sum from n=0 to infinity of (8/9)^n ?
The sum from n=0 to infinity of (8/9)^n is 9