For a power series, the interval of convergence is the interval in which the series has absolute convergence. It is expressed in interval notation. For example, a series that converges between
To find this interval of convergence, we frequently use the ratio test. example 1 Find the interval of convergence of the power series ∑ n=0∞ xn ∑ n = 0 ∞ x n. Noting that this series happens to
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