Find the positive values ofp for which the series converges. 17 i n 18 1 'n=1(1+n2)p ' p\" Recall [ff is a positive, continuous, and decreasing Function For x 2 1 and on = fol), then the series 2 an converges to S, and the M 11:1 remainder RN = S SM is bounded by 0 S RN 5 J- f(x) dx. N Approximate the sum of the convergent series using the indicated number of terms. Include an estimate of the maximum error for your approximation. oo 03 1 1 19. Z ; six terms 20. Z ;ten terms 714 1 n2 + 1 n: Find N (number of terms needed) such that RN 5 0.001 for the convergent series. ' n4 ' n2 + 1 11:1 n=1