Perseverance is not giving up. It is persistence and tenacity, the effort required to do something and keep doing it till the end, even if it’s hard. Perseverance originally comes from the Latin perseverantia and means to abide by something strictly.
Question: “What does the Bible say about perseverance?”
Answer: The Bible has a lot to say about perseverance in several different contexts. Clearly, the Scriptures teach that those who “overcome” and persevere in the faith will inherit eternal life (Revelation 2:7). This truth is also expressed in Colossians 1:23 where we see that people will be holy, blameless and above reproach “if they continue in the faith, grounded and steadfast, and are not moved away from the hope of the gospel.” So all Christians should be in agreement that those who are ultimately saved are those who do persevere and continue to believe the gospel.
(taken from Got questions.org)