Uivides a a des a and 3 and 3 divides b 29. let f:r r be a function and let j be a bounded open interval in r. define wf,j) = sup {f(x)|x e j - inf {f(x)| x e j

UivIdes a a des a and 3 and 3 divides b 29. Let f:R R be a function and let J be a bounded open interval in R. Define Wf,J) = sup {f(x)|x e J - inf {f(x)| x E J}. Which one of the following is FALSE? (a) Wf,J,) s W(f.Je) ,if J, eJz (b) If fis a bounded function in J andJ 5Jj 5 Jp.. J, ... such that the length of the interval J, tends to 0 as n-> co, then lim W(f,J,) = 0 n-co (c) If f is discontinuous at a point a e J, then W(f, J) # 0 (d) If fis continuous at a point a e J, then for any given E> 0 there exists an intervall c J such that Wf.)