2 problems, I need to use the direct comparison test with either a p series or a geometric series(adsbygoogle = window.adsbygoogle || []).push({});

1)series of j^2/(j^3 +4j +3)

I thought of comparing it to j^2/J^3 which comes out to 1/j, but that dosent work, my teachers answer is you compare it to 1/5j

2) series of sqrt(q)/(q+2) I would figure it would be 1/q^(1/2), but nope that dosent work, my teachers answer is comapre it to 1/3q^(1/2)

Can you explain to me how he got those? i feel like all he did was multiply the denominator by some arbitrary number to get an answer that suited his needs? is there more to this?

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# Homework Help: Direct comparison test, just need some explanation

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