1. Determine whether the series converges absolutely, converges conditionally, or diverges. Justify your conclusion as specifically as possible. (-1)"n3 n+ + 1 n=1 (-1)n-1 2. Consider the series M 5 n=1 n8 (a) Show that the series converges. (b) Approximate the sum of the series with $4. (c) Determine the number of terms needed to estimate the sum with an error of at most 0.001