1. The problem statement, all variables and given/known data Is the 50th partial sum, s_50, of the alternating series, "summation [(-1)^(n-1)] / n from 1-->infinity" an overestimate or an underestimate of the total sum? Explain 3. The attempt at a solution First concern: Isn't every partial sum an underestimate for an increasing sequence and an overestimate for a decreasing sequence? Secondly, I saw that b_n = 1/n, which is a divergent sum. So since it is increasing and divergent, wouldn't the partial sum s_50 be an underestimate? This seems to be too easy a conclusion, so does anyone know if there is any other way to justify it?