Let f:(0,1)rbe continuous. suppose that s)-so}s|cosxcos for all*,ye(0,1) then (a.) f is discontinuousjat least at one point in (0,1). (6.) f is continuous every

Let f:(0,1)Rbe continuous. Suppose that s)-sO}s|cosxcos for all*,ye(0,1) Then (a.) f is discontinuousjat least at one point in (0,1). (6.) f is continuous everywhere on (0,1) but not uniformly continuous on (0,1). (c.) S is uniformly continuous on (0,1). (d.) lim-+0f(x) exists.