What does persevere mean?

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From our dictionary:

per•se•vere

Pronunciation: (pûr"su-vEr'), [key]
v., -vered, -ver•ing.

v.i.
1. to persist in anything undertaken; maintain a purpose in spite of difficulty, obstacles, or discouragement; continue steadfastly.
2. to persist in speech, interrogation, argument, etc.; insist.

v.t.
to bolster, sustain, or uphold: unflagging faith that had persevered him.