Solution
= Solution
For $n\geq1$, $\ln n\leq n$ and $2n^3+1\geq2n^3$. Hence $0\leq\ln n/(2n^3+1)\leq1/(2n^2)$. The comparison <p-series> has exponent two and converges, so \b[the series converges] by the <comparison test>.
= Solution
For $n\geq1$, $\ln n\leq n$ and $2n^3+1\geq2n^3$. Hence $0\leq\ln n/(2n^3+1)\leq1/(2n^2)$. The comparison <p-series> has exponent two and converges, so \b[the series converges] by the <comparison test>.