  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.
