Verb (5-dan, す, transitive)
1. to use up; to exhaust; to run out of
力の限りを尽くして、今、この瞬間を楽しもうとしている。Using every ounce of strength, they're trying to enjoy this moment right now.
Verb (5-dan, す, intransitive)
2. to devote oneself (to); to do one's utmost (for); to serve; to work (for a cause)
どこまでも、君に尽くしますよ。I will devote myself to you forever.
3. to do to exhaustion; to do completely; to do fully
after the -masu stem of a verb
あんたも、もうこの島の中は歩き尽くしちゃったんじゃない？You've probably walked every corner of this island by now too, haven't you?