What is the sum from n=1 to infinity of r^n ?

The sum from n=1 to infinity of r^n is Radius of convergence is 1, Interval of convergence is-1<r<1

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sum from n=1 to infinity of r^n

n = 1 \sum \infty r^{n}

Radius of convergence is 1, Interval of convergence is - 1 < r < 1

Solution steps

n = 1 \sum \infty r^{n}

Use the Root Test to compute the convergence interval

Radius of convergence is 1, Interval of convergence is - 1 < r < 1

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What is the sum from n=1 to infinity of r^n ?
The sum from n=1 to infinity of r^n is Radius of convergence is 1, Interval of convergence is-1<r<1