The integral Test enables us to haunt] the error approximation of the series 0\" 1 s = ___. \":3 n. [ Inn)5 by the partial sum 20' 1 320 = - 3 n (hm-i5 What upper bound does it yield for the error i: 320 '2 Gee your answer accurate to 3 signicant digits. Number | a) Consider f(I) = From below, select all correct statements: eI/2 The function f(r) is continuous for all z 2 1. For all x 2 1, we havef (x) > 0, that is, f(x) is postive for all x 2 1. For all I > 2, the function f(I) is decreasing. The improper integral f(z) dx is convergent. b) For each integer k > 1, define ap = f(k) = - Is the following statement true or false? ek /2 8 k By virtue of the Integral Test, we may conclude that the infinite series is convergent. =1 ek/2 True O False k c) Does the Remainder Estimate Theorem for the Integral Test apply to for n = 3? k=1 ek/2 O Yes O No d) By fully evaluating approriate improper integrals, find the lower L and upper U bounds on Ry for which the Remainder Estimate Theorem guarantees L Rg