persevering

/ˌpɜrsəˈvɪrɪŋ/
adjective
  1. Showing the quality of continuing to try despite difficulties; persistent.
    • Her persevering attitude helped her finish the marathon despite the pain.
    • He was a persevering gardener who nursed the plants back to health after the drought.
    • The persevering student kept asking questions until she understood the lesson.