I guess that's technically correct, but I would have gone with "serving Austin" myself. I don't really want to think about my bank "servicing" me. Maybe my mind is in the gutter, but the wording made me immediately think of things I don't want my bank doing to me. [I encourage banking-related puns in the comments.]
The wording on the sign reminded me of a customer service promotion at the grocery store that drove me absolutely bonkers:
Managers: We want you to provide OUTRAGEOUS customer service!"As tempted as I was to actually provide "outrageous" customer service, I was too much of a chicken. Oh well.
Jane: Really. Outrageous. You're sure about that?
Managers: Absolutely! We want our customers to TALK about the service they get here.
Jane: Um, I think customers not talking about us at all would be better than having them call our customer service "outrageous."
Managers: Silly girl.
Jane: Oh whatever.
P.S. On a tangentially related note, is 14 years really a long time? Am I just getting old?