lax limits

Dear Categorists, since I'm not expert in the field, I woulde like to receive lights and references on preservation of lax (co) limits by representables. In particular : Let C be a 2-category and let [C,Cat] be the 2-category of 2-functors, lax nat transformations and modifications. If {G_a}_a\in A is a diagram in [C,Cat], does the formula [C,Cat](F,lax colim G_a) ≈ lax lim [C,Cat](F,G_a) hold, for any F? Are there sensible differences for the pseudo case? thanks in advance l.stramaccia 23-Feb-2005 15:23:41 -0400,2450;000000000001-00000000