Answer Happy

I. = Define: lezz'-1,-1<x<1 h(x) = (1) 10,1x| > 1 A. Prove that h'(1) exists and equals 0. Then, conclude that h' e C°(R). C°(R) = { $ : R+R | f is continuous and bounded on R fRf = (2) B. Given k e Z and k > 1, prove that h(k) (1) exists and equals 0. Then, conclude that h(k) E C°(R) for any k € N.