live (v.) Look up live at Dictionary.com
Old English lifian (Anglian), libban (West Saxon) "to be, be alive, have life; continue in life; to experience," also "to supply oneself with food, procure a means of subsistence; pass life in a specified fashion," from Proto-Germanic *liben (source also of Old Norse lifa "to live, remain," Old Frisian libba, German leben, Gothic liban "to live"), from PIE root *leip- "to remain, continue" (source also of Greek liparein "to persist, persevere;" see leave).

Meaning "to make a residence, dwell" is from c. 1200. Meaning "express in one's life" (live a lie) is from 1540s. Intensified sense "have life abundantly" is from c. 1600. Related: Lived; living. To live it up "live gaily and extravagantly" is from 1903. To live up to "act in accordance with" is 1690s, from earlier live up "live on a high (moral or mental) level" (1680s). To live (something) down "cause (something disreputable) to be forgotten by subsequent blameless course" is from 1842. To live with "cohabit as husband and wife" is attested from 1749; sense of "to put up with" is attested from 1937. Expression live and learn is attested from c. 1620.
According to the Dutch Prouerbe ... Leuen ende laetan leuen, To liue and to let others liue. [Gerard de Malynes, 1622]
live (adj.) Look up live at Dictionary.com
1540s, "having life, not dead," a shortening of alive (q.v.). From 1610s of fire, coal, etc., "burning, glowing;" 1640s of things, conditions, etc., "full of active power;" sense of "containing unspent energy or power" (live ammunition) is from 1799. Meaning "in-person, not recorded" (of performance) is first attested 1934. Live wire is attested from 1890; figurative sense of "active person" is from 1903.