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Active Calculus 1st Ed

Activity 8.3.8.
Use the Limit Comparison Test to determine the convergence or divergence of the series
\begin{equation*} \sum \frac{3k^2+1}{5k^4+2k+2}\text{.} \end{equation*}
by comparing it to the series \(\sum \frac{1}{k^2}\text{.}\)