Show that iff : A -+ 1R is continuous on A ~ 1R and if n e N, then the function f" defined by /"(x) = (/(x))" for x e A, is continuous on A.

LaborLeisureChoice(Part2) Econ301Chaudhuri LeisureisnotaGiffengood.Whenthewageincreases,itincreasestheopportunity setoftheindividual.Ifleisureisanormalgood,theindividualwillpurchasemoreof itaswagesrise,justasheorshemaypurchasemoreofothercommodities.When theincomeeffectdominates,itgeneratesabackward-bendinglaborsupplycurveat highwages.Ifleisureisinferior,theincomeandsubstitutioneffectsreinforceone...