  We report the discovery of type-I X-ray bursts from the low-mass X-ray binary
4U 1708-40 during the 100 ks observation performed by BeppoSAX on 1999 August
15-16. Six X-ray bursts have been observed. The unabsorbed 2-10 keV fluxes of
the bursts range from ~ (3-9)x10^(-10) erg cm^(-2)s^(-1). A correlation between
peak flux and fluence of the bursts is found, in agreement with the behaviour
observed in other similar sources. There is a trend of the burst flux to
increase with the time interval from the previous burst. From the value of the
persistent flux we infer a mass accretion rate Mdot~7x10^(-11) Msun/yr, that
may correspond to the mixed hydrogen/helium burning regime triggered by
thermally unstable hydrogen. We have also analysed a BeppoSAX observation
performed on 2001 August 22 and previous RXTE observations of 4U 1708-40, where
no bursts have been observed; we found persistent fluxes of more than a factor
of 7 higher than the persistent flux observed during the BeppoSAX observation
showing X-ray bursts.
