What is the sum from k=0 to infinity of x^k ?

The sum from k=0 to infinity of x^k is Radius of convergence is 1, Interval of convergence is-1<x<1

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sum from k=0 to infinity of x^k

k = 0 \sum \infty x^{k}

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

Solution steps

k = 0 \sum \infty x^{k}

Use the Root Test to compute the convergence interval

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

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What is the sum from k=0 to infinity of x^k ?
The sum from k=0 to infinity of x^k is Radius of convergence is 1, Interval of convergence is-1<x<1