How to prove this serie
∞∑n=1(−1)nlnn+sinn
converge? I can't do a comparison test with the Leibniz formula for π because the series are not >0 for all n. I can't do a ratio test because I can't compute the limit, the alternating series test can't be applied, the absolute serie is not convergent. I'm out of ideas.
Any clues?
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