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We have studied the process e+e−→μ+μ−γ at a center-of-mass energy near the Υ(4S) resonance for a μ+μ− invariant mass range near the J/ψ mass and measured the cross section σ(e+e−→J/ψγ→μ+μ−γ). The data set, corresponding to an integrated luminosity of 88.4fb−1, was collected using the BABAR detector at the SLAC PEP-II …