Test the Absolute convergence or divergence

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∑(0to infinity) (−)^*(/) This is the question to check it's absolute convergence or divergence I tried it by using lebintz test which states that lim(n->oo)|Un|=0 for convergence. Thus when we do it we get that the above series isn't convergening it should be than oscilating How should I proceed and what should I apply?