  We present here results obtained from three BeppoSAX observations of the
accretion-powered X-ray pulsar SMC X-1 carried out during the declining phases
of its 40--60 days long super-orbital period. Timing analysis of the data
clearly shows a continuing spin-up of the neutron star. Energy-resolved timing
analysis shows that the pulse-profile of SMC X-1 is single peaked at energies
less than 1.0 keV whereas an additional peak, the amplitude of which increases
with energy within the MECS range, is present at higher energies. Broad-band
pulse-phase-averaged spectroscopy of the BeppoSAX data, which is done for the
first time since its discovery, shows that the energy spectrum in the 0.1--80
keV energy band has three components, a soft excess that can be modeled as a
thermal black-body, a hard power-law component with a high-energy exponential
cutoff and a narrow and weak iron emission line at 6.4 keV. Pulse-phase
resolved spectroscopy indicates a pulsating nature of the soft spectral
component, as seen in a few other binary X-ray pulsars, with a certain phase
offset with respect to the hard power-law component. Dissimilar shape and phase
of the soft and hard X-ray pulse profiles suggest a different origin of the
soft and hard components.
