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Examples 4.2.12(b):

The series converges.

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We will use the comparison test, together with the p-series test. First, note that

1 / (1 + n 2) < 1 / n 2
But since the series 1 / n 2 is a p-series with p = 2, and therefore converges, the original series
must also converge by the comparison test.
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