2. let be a bounded function on r and a e r. for 0. let ofa,8) =sups(x)-f{a). xela-8,a +). then (a.) ofa,,)s ola.5,) if ö s 5. (6.) limz-0+ @(a,6)= 0 for all a

2. Let be a bounded function on R and a e R. For 0. let ofa,8) =sups(x)-f{a). xela-8,a +). Then (a.) ofa,,)s ola.5,) if ö S 5. (6.) limz-0+ @(a,6)= 0 for all a e R. (C.) limg-0+ o(a,8) need not exist. (d.) lim,0+ ofa,8) =0 if and only if f is continuous at a.