(Off topic) Limit question solved.

A colleague here at U.N.B. has provided a counter example for me.  So
the conjecture (that the existance of the ``product limit'' is
implied by the existance of the limits involving the first three
powers) is false.

If anyone is interested in the details, they should contact me
off-list.

My apologies for confusing everyone with my initial mis-statement of
the problem.

			cheers,

				Rolf Turner
				rolf at math.unb.ca