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We present a measurement of the inclusive electron spectrum in charmless
semileptonic B decays near the kinematic limit for B->X_c e\nu transitions,
using a sample of 88 million Upsilon(4S) decays recorded by the BABAR detector.
Partial branching fraction measurements are performed in five overlapping
intervals of the electron momentum. For the interval of 2.0-2.6 GeV/c we
obtain \Delta Br(B->X_u e\nu) = (0.572+-0.041(stat)+-0.065(syst))x10^{-3}.
Combining this result with shape function parameters extracted from BABAR
measurements of moments of the inclusive photon spectrum in B->X_s+gamma
decays and moments of the hadron mass and lepton energy spectra in
B->X_c l\nu decays we determine
|V_{ub}|=((4.44+-0.25(exp) ^{+0.42}_{-0.38}(SF)+-0.22(theory))x10^{-3}.
Here the first error represents the combined statistical and systematic
experimental uncertainties of the partial branching fraction measurement,
the second error refers to the uncertainty of the determination of the
shape function parameters, and the third error is due to theoretical
uncertainties in the QCD calculations.
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