The exclusive cross section for the breakup of ⁶Li by ²⁰⁸Bi has been measured at E_lab=40 and 36 MeV. Sequential breakup, via the resonant state (3⁺) of ⁶Li in the continuum, dominates the total breakup cross section. The two sequential breakup peaks corresponding to the above resonant state, in both alpha and deuteron spectra, were found to be asymmetric. Continuum discretized coupled-channel (CDCC) calculations show the influence of both the Coulomb as well as the nuclear field on breakup.