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Interval of convergence

AP.CALC: LIM‑8 (EU), LIM‑8.D (LO), LIM‑8.D.1 (EK), LIM‑8.D.2 (EK), LIM‑8.D.3 (EK), LIM‑8.D.4 (EK)

Problem

sum, start subscript, n, equals, 1, end subscript, start superscript, infinity, end superscript, start fraction, 3, left parenthesis, x, plus, 1, right parenthesis, start superscript, n, end superscript, divided by, n, dot, 4, start superscript, n, end superscript, end fraction
What is the interval of convergence of the series?
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