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The fluctuation pressure that an infinitely extended fluid membrane exerts ontwo enclosing parallel hard walls is computed. Variational perturbation theoryis used to extract the hard-wall limit from a perturbative expansion throughsix loops obtained with a smooth wall potential. Our resultalpha=0.0821+/-0.0005 for the constant conventionally parametrizing thepressure lies above earlier Monte Carlo results.Comment: 9 pages, 1 figure; section III shortened, discussion extended, some  minor change

Fluctuation pressure of a fluid membrane between walls through six loops