  We consider an exponential model within the so-called f(T) theory of gravity,
where $T$ denotes the torsion scalar. We focus our work on a cosmological
feature of such a model, checking whether it may describe the de Sitter stage
of the current universe through the analysis of the redshift z. Our results
shows that the model reproduces the de Sitter stage only for low-redshifts,
where the perturbation function goes toward zero as the low values of the
redshift are reached, whereas the effective parameter of equation of state goes
to -1, which is the expected behavior for any model able to reproduce de Sitter
stage.
