I have to figure out if the series is divergent or convergent, and justify my answer. Here is the series:
. . . . .\(\displaystyle \displaystyle \sum_{n=1}^{\infty}\, \dfrac{ (-1)^n \, \cdot\, \ln(n) }{n}\)
I'm having trouble figuring out what method to use. I have tried the alternating series test but it does not fit the parameters, and the ratio test also doesn't work. Any ideas? Thank you.
. . . . .\(\displaystyle \displaystyle \sum_{n=1}^{\infty}\, \dfrac{ (-1)^n \, \cdot\, \ln(n) }{n}\)
I'm having trouble figuring out what method to use. I have tried the alternating series test but it does not fit the parameters, and the ratio test also doesn't work. Any ideas? Thank you.
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