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Integral test

AP.CALC: LIM‑7 (EU), LIM‑7.A (LO), LIM‑7.A.6 (EK)

Problem

sum, start subscript, n, equals, 1, end subscript, start superscript, infinity, end superscript, start fraction, 2, divided by, 1, plus, n, squared, end fraction
When applying the integral test, we get a limit that determines whether the series converges or diverges.
What is this limit?
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