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I have this series for example:

∑_(n=1)^∞ a n-1 (2n-1/2n)If we apply L'hopital's rule to find the limit, and to see if the series is convergent or divergent, I think we will obtain the answer 1..

so does that mean the series converges towards one (1)? When can I decide a series is convergent or divergent? I'm really confused..

Appreciate ur help.. a lot..I really need to understand..

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# Simple question on series?

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