If I am transiting a class delta airspace on a VFR flight and am coming up to a class bravo boundary without a bravo clearance, what will happen?
Because you're in Delta space, you are necessarily talking with a Delta controller.They will likely do one of two things:

Either:


give you a vector to keep you clear of Bravo:
N45WTF:  Turn left 40 degrees
coordinate with the Bravo controller, and the Delta controller may give you clearance:
N45WTF:  Climb and maintain 3,500.  Squawk 3462, Cleared into the Bravo, contact Center on 118.9