**S.F.Yashkov and A.S.Yashkova **

*A Note on Asymptotics Associated with
Limit Theorem for Terminating Renewal Process in Processor Sharing Queue*

We give a simple proof of an asymptotic result associated with terminating
renewal process in the M/G/1 queue under egalitarian processor sharing. The
proof gives insight into the principles

according to which the time–dependent
solution is obtained for the queue length at time *t*.