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Infinite Serieseasy
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Use limit comparison to analyze ∑n=1∞3n2+n2n4+5n2+1\sum_{n=1}^{\infty} \frac{3n^2+n}{2n^4+5n^2+1}∑n=1∞​2n4+5n2+13n2+n​

Choose an appropriate comparison series and compute lim⁡n→∞anbn\lim_{n \to \infty} \frac{a_n}{b_n}limn→∞​bn​an​​. What do you conclude?