if f+G is continuousat X=a , thenf andg arecontinuousat x=a . `if lim_ (x to a)(fg) ` exists , THENBOTH` lim_( x to a ) f and lim_ (x to a)` g EXIST Discontinuityat `x= a implies ` non - existenceof limit. Allfunctiondefinfed on a closed intervalattainamaximumorminimum VALUEIN thatinterval.