Limits over orbit categories of locally finite groups

We correct an error in the paper [BLO3], and take the opportunity to examine in more detail the derived functors of inverse limits over orbit categories of (infinite) locally finite groups. The main results show how to reduce this in many cases to limits over orbit categories of finite groups, but we also look at generalizations of the Lyndon-Hochschild-Serre spectral sequence for higher limits over orbit categories for an extension of locally finite groups.