Prove (with the $\epsilon$-$N$ method) that the sequence $(3n^3 +2)/n^3$ converges. Determine the limit first. Can someone help me with this? I have seen many examples but it I still don't get it. If someone can explain step by step (especially why we need to use the $N$?) I would be very very thankful.
Prove convergence with the $\epsilon$-$N$ method
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sequences-and-series