▁( R isk )" ▁( 2 0 0 0 ), ▁which ▁were ▁both ▁produced ▁by ▁American ▁production ▁team ▁Jimmy ▁Jam ▁and ▁Terry ▁Lewis . ▁For ▁" Time ▁Lim it ", ▁Ut ada ▁en list ed ▁the ▁help ▁of ▁American ▁producer ▁Rod ney ▁Jer kins , ▁and ▁recorded ▁the ▁song ▁at ▁Dark child ▁Studios ▁in ▁New ▁Jersey . ▁ ▁The ▁song ▁was ▁co - com posed ▁with ▁Tak uro ▁of ▁the ▁band ▁G lay , ▁the ▁first ▁time ▁Ut ada ▁had ▁shared ▁the ▁role ▁of ▁song writer ▁since ▁her ▁ 1 9 9 8 ▁pre - de but ▁album ▁P reci ous ▁as ▁Cub ic ▁U . ▁For ▁Ut ada ' s ▁second ▁album ▁Dist ance ▁( 2 0 0 1 ), ▁she ▁worked ▁together ▁with ▁Tak uro ▁again ▁on ▁the ▁song ▁" D rama ". ▁ ▁The ▁" For ▁You " ▁/ ▁" Time ▁Lim it " ▁single ▁was ▁released ▁right ▁before ▁Boh em ian ▁Summer ▁ 2 0 0 0 , ▁her ▁first ▁wide - scale ▁tour ▁of ▁Japan , ▁and ▁on ▁the ▁same ▁day ▁as ▁the ▁DVD ▁single ▁release ▁of ▁her ▁previous ▁single , ▁" Wait ▁& ▁See ▁( R isk ) ". ▁ ▁Prom otion ▁and ▁release ▁ ▁The ▁song ▁was ▁first ▁un ve iled ▁on ▁June ▁ 1 2 , ▁ 2 0 0 0 , ▁when ▁a ▁ 6 0 - second ▁preview ▁of ▁" Time ▁Lim it " ▁was ▁preview ed ▁on ▁Japan ▁FM ▁Network ▁radio ▁stations , ▁a ▁week ▁before ▁" For ▁You " ▁was ▁preview