I. = Define: lezz'-1,-1 1 A. Prove that h'(1) exists and equals 0. Then, conclude that h' e C°(R

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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 1 (40.75 KiB) Viewed 21 times

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.