persevere

verb2

1. •
   To persist steadfastly in pursuit of an undertaking, task, journey, or goal, even if hindered by distraction, difficulty, obstacles, or discouragement.

   • I will persevere in my course of loyalty, though the conflict be sore between that and my blood. — 1603
2. •
   (no longer used) To stay constant; to continue in a certain state; to remain.