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- Express the sum of the power series in terms of geometric series. x + x2 − x3 − x4 + x5 + x6 − x7 − x8 + (Hint: group powers x4n, x4n − 1, etc.)determine if the series is diverging, absolutely converging, or conditionally converging using "root test"Determine if the series converges. Determine AN. What type of series is this? What is the sum ofthe series (not expressed with a sum sign)?