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I could not find how I can show that the following series is convergent or not.

$$\sum_{n=2}^\infty(-1)^n\frac{\ln(n)}{\sqrt{n}}$$

  • 1
    You could use, with a bit of work, the [Alternating Series Test](http://tutorial.math.lamar.edu/Classes/CalcII/AlternatingSeries.aspx).2012-12-25
  • 1
    Note that the series is not absolutely converges.2012-12-25

3 Answers 3