convergence of series involving arctan, arcsin or arccos.

Hi everyone!

I'm having some problems in finding if a series is convergent or
divergent when the geral term involves arctan, arcsin or arccos.

For example,

a series from n=1 to infinity with term: (3^n arcsin((-1)^n/n) )/n!

Did i have to see the limit of what is inside the arcsin?

Thank you very much,

Catarina Dias

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