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Determine absolute or conditional convergence

AP.CALC: LIM‑7 (EU), LIM‑7.A (LO), LIM‑7.A.12 (EK), LIM‑7.A.13 (EK)

Problem

sum, start subscript, n, equals, 2, end subscript, start superscript, infinity, end superscript, left parenthesis, minus, 1, right parenthesis, start superscript, n, end superscript, start fraction, square root of, n, end square root, plus, 1, divided by, 2, n, minus, 3, end fraction
Does the series converge conditionally, converge absolutely, or diverge?
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