Using radiative Z(0) --> tau(+) tau(-) gamma events collected with the
OPAL detector at LEP at root(s) = M-Z during 1990-95, a direct study
of the electromagnetic current at the tau gamma vertex has been perfor
med in terms of the anomalous magnetic form factor F-2 of the tau lept
on. The analysis is based on a data sample of 1429 e(+)e(-) --> tau(+)
tau(-) gamma events which are examined for a deviation from the expect
ation with F-2 = 0. From the non-observation of anomalous tau(+)tau(-)
gamma production a limit of -0.068 < F-2 < 0.065 is obtained. This ca
n also be interpreted as a limit on the electric dipole form factor F-
3 as \eF(3)\ < 3.7 x 10(-16) e cm. The above ranges are valid at the 9
5% confidence level. (C) 1998 Elsevier Science B.V. All rights reserve
d.