ed . ▁To ▁promote ▁the ▁single , ▁Ut ada ▁appeared ▁in ▁mag az ines ▁released ▁in ▁June ▁and ▁July , ▁such ▁as ▁P ati ▁P ati , ▁What ' s ▁In ?, ▁Pia , ▁Tokyo ▁Walker ▁and ▁Pop teen . ▁ ▁Ut ada ▁performed ▁" Time ▁Lim it " ▁live ▁on ▁Hey ! ▁Hey ! ▁Hey ! ▁Music ▁Champ ▁on ▁June ▁ 2 6 , ▁ 2 0 0 0 . ▁This ▁show ▁was ▁one ▁of ▁the ▁highest - r ated ▁episodes ▁of ▁the ▁program , ▁taking ▁in ▁a ▁ 2 2 . 1 % ▁share ▁of ▁view ers ▁for ▁the ▁time ▁slot , ▁however ▁was ▁be aten ▁by ▁Ut ada ' s ▁previous ▁appearances ▁on ▁the ▁show ▁in ▁ 1 9 9 9 ▁and ▁later ▁in ▁ 2 0 0 1 . ▁On ▁the ▁June ▁ 2 9 ▁episode ▁of ▁U tab an , ▁Ut ada ▁performed ▁both ▁" For ▁You " ▁and ▁" Time ▁Lim it ". ▁ ▁Music ▁video ▁ ▁A ▁music ▁video ▁was ▁created ▁for ▁the ▁song , ▁featuring ▁foot age ▁of ▁a ▁live ▁performance ▁by ▁Ut ada ▁on ▁her ▁Boh em ian ▁Summer ▁ 2 0 0 0 ▁tour . ▁The ▁foot age ▁was ▁taken ▁from ▁the ▁July ▁ 1 , ▁ 2 0 0 0 ▁concert ▁at ▁the ▁Y oy og i ▁National ▁G ymnasium , ▁Tokyo . ▁ ▁Crit ical ▁reception ▁ ▁S ato ▁of ▁O ng aku DB . com ▁noted ▁the ▁song ' s ▁layer ed ▁ch orus ▁work , ▁and ▁felt ▁that ▁to