For the following series sum(an) between n=2, n=infinity determine if the series converges and if so find the limit? Such that(adsbygoogle = window.adsbygoogle || []).push({});

an=1/(n(n^2-1))

I've expressed (an) in partial fractions so that

an=-1/n + 1/(2(n+1)) + 1/(2(n-1))

but can't seem to get any further than this?

Where should I go from here??

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# Convergence of series and limits

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