Root test for convergence of geometric seriesuse the root

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Root test for convergence of geometric series.

Use the root test to show that a geometric series converges only if its ratio has absolute value less than 1, or its term is 0.

Find the interval of convergence of a power series.

Find a power series representation for the function f(x) = x/(1 - x) and determine its interval of convergence.

Reference no: EM13357261

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