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We search for the rare decay , using a data set with an integrated luminosity of 2.93 collected at GeV with the BESIII detector operating at the BEPCII storage rings. No signals are observed. We set the upper limit on the branching fraction for $D^+\to D^0 e^+\nu_e1.0\times 10^{-4}$ at the 90% confidence level.

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