Question

what is difference between positive term series and power series? How to test a power series for

convergence, why does a power series always have radius of convergence and interval of convergence?​

Answer 1

Unlike geometric series and p-series, a power series often converges or diverges based on its x value. This leads to a new concept when dealing with power series: the interval of convergence. The interval of convergence for a power series is the set of x values for which that series converges.

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