Convergent or divergent?

Infinite Sigma n=1 3n/(n^3 + Sin(n)^2)Is this convergent or divergent? What test do I use to solve this? or:Infinite Sigma n=1 3n/(n^3 + Sin(n)^2)Is t

Infinite Sigma n=1 3n/(n^3 + Sin(n)^2)
Is this convergent or divergent? What test do I use to solve this?

or:Infinite Sigma n=1 3n/(n^3 + Sin(n)^2)Is this convergent or divergent? What test do I use to solve this?

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