(3) / n sqrt(n)

not sure what test i should use for this problem!

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[( -1 )^n] * [3^(n-2)] / 2^n

i dont understand why i cannot use this root test for this problem...it seems to work out fine and i get the limit = 0 so since L < 1 then it should be convergent....but this is actually supposed to be divergent.

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10n+3 / n2^n

another one i'm not sure which test i should use