To determine the convergence or divergence of the series using the Direct Comparison Test.
The Direct Comparison Test:
Let, for all and . Then
(i) if is convergent is convergent
(ii) If is divergent is divergent
Here, consider and
And by p-series test, the series is convergent.
Therefore, by the Direct Comparison test is convergent.
Thus, by using the Direct Comparison test the series, is absolutely convergent
Hence, the given series is convergent.
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