This is for calc 2

Alternating Series Estimation. If5, 2 0 and Ca. = _(-1)"b, is an alternating series that converges to 5 by the alternating series test, then 15 - SN CON+1 - That is, the error of any partial sum Sy to the infinite sum S is less than the very next term by$1. 1. (10 points total) Consider the alternating series (is it alternating?) >on = ) (-1)0-3, yes . 72 - 4 (a) Show lim bi = lim r+4 = /(2) = 4 -1 21/I(x+ 4). and verify the sequence by = la, | is decreasing for every 25. 0 EX S4X24 09084, 124 (b) Use the Alternating Series Test to show the series 2, converges. Call the sum of this series S. (c) Compute S, and round to four decimal places. Then use the Alternating Series Estimation to find numbers r and (rounded to 4 decimal places) that you can gussantee the inequality a