I think it depends on which "plan" you get approved on to be honest.  If you get a starting CL of $1500 I think you would have a good chance of getting a higher limit.  I have seen however than many seem to be capped at $3000 or $4000.

---

Starting Score: 770
Current Score: 765 (EX) 763 (EQ) 756 (TU)

Auto Enhanced: 788 (EX)
Goal Score: 800
Take the FICO Fitness Challenge