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The questions of the existence and stability of multi-excitonic states, in which the one-dimensional character of carbon nanotubes implies strong Coulomb interactions, are currently the subject of intense debates. These states and their coupling with excitonic states play a fundamental role within the exploitation of excitonic properties. Recently, experimental studies reported the observation of the trion (exciton-carrier bound state). In order to study the biexciton, we have performed nonlinear spectral-hole burning experiments at a low temperature, bringing the first evidence for biexcitonic induced-absorption.