Do girls like persistent guys?

Persistent as in he won't give up on her easily if she turns him down. I'm not implying that he is so persistent that he won't take no for an answer; that's just offensive and creepy. But persistent as in he tries to convince her that he is worth her while if she dismisses his advances at first.

Would you girls find this admirable or annoying?
Do girls like persistent guys?
Post Opinion