Suppose $we$ want $to$ determine whether a series $n=n0an$ converges $or$ diverges, using the $limit$ comparison test. This involves choosing a comparison series $n=n0bn$ for which $limnanbnis$ a nonzero real number. $(There$ are other cases $as$ well, but $well$ ignore them for this question.$)For$ each series $n=n0an$ below, select all $of$ the suggested comparison series $n=n0bn$ that make $limnanbn$ a nonzero real number. $(These$ series are good choices for comparison series $in$ the $limit$ comparison test.$)$ Then, determine whether the original series converges $or$ diverges$\mathrm{.}1.We$ want $to$ know whether the series $n=n03n2+59n3+n2+10n+100$ converges $or$ diverges.Possible comparison series:

$n=n013n$

$n=n0n2$

$n=n01n$