It's so hard to say with GEMB ... I got a Banana Card ... $400 limit, raised to $900 in a few months.
I got an Old Navy Card, limit of $500, raised to $800 a few months later. Then, they AUTOMATICALLY upgraded me to an Old Navy Visa (I could have opted out, they sent me a letter) with a $3,000 CL. I have had both for about 2 years now.
Recently had my BR card charged to $500, they lowered my limit to $490. No change on Old Navy.
Hope this helps!!