1. continuing to exist or happen over a long period of time
2. refusing to give up or stop trying; determined
3. continuing to bother or annoy someone repeatedly

Examples

• The persistent rain lasted for three days straight.
• She was persistent in her efforts to learn the piano.
• His persistent cough worried his parents.
• The persistent salesman called every day for a week.
• Despite persistent problems, the team never gave up.
• The persistent smell of smoke lingered in the house.
• Her persistent questions finally got her the answers she needed.