Definition of Persevering

Adjective: persevering  ,pur-su'veer-ing

1. Quietly and steadily continuing a task despite any difficulties
   "a persevering worker"; "with persevering industry she revived the failing business";
   - diligent

1. Be persistent, refuse to stop
   "he persevered to call me every night";
   - persist, hang in, hang on, hold on

See also:
perseveres
perseveringly