Once again, please SHOW/EXPLAIN YOUR WORK to receive full or partial credit. Given the infinite series : 18 1 n2 + 3n + 2. n=1 1. Expand the series, including at least the first 5 terms. 2. Compute the first 4 partial sums ; label which is which. 3. Carry out partial fractions decomposition on the formula for an4. Use your answer in part (c) to expand the series. 5. Use your answer in part (d) to compute the first 4 partial sums. 6. Based on your results in part (e), give the formula for the partial sums, S,, 7. Evaluate a limit to determine the behavior of the series (convergent/divergent)