Definition of live up to phrasal verb from the Oxford Advanced American Dictionary

 

live up to

 phrasal verb
phrasal verb
 
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Phrasal Verbs

live up to something

 
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to do as well as or be as good as other people expect you to He failed to live up to his parents' expectations. The team called “The No-Hopers” certainly lived up to its name.
See the Oxford Advanced Learner's Dictionary entry: live up to