Does this infinte series converge or diverge? Sigma from 1-infinity of 1n(n)/n^1.02

Does this infinte series converge or diverge? Sigma from 1-infinity of 1n(n)/n^1.02

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n^(1.02)?

\[\sum_{1}^{\infty} \ln(n)/n^1.02\]

Use the integral test you will find it will converge.

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