When a series alternates (plus, minus, plus, minus,...) there's a fairly simple way to determine whether it converges or diverges: see if the terms of the series approach 0.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/e/alternating-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC
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Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/v/ratio-test-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC
AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test
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