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We report a search for the standard model Higgs boson in the missing energy and acoplanar b-jet topology, using an integrated luminosity of 0.93 fb-1 recorded by the D0 detector at the Fermilab Tevatron pp Collider. The analysis includes signal contributions from pp → ZH → ννbb, as well as from WH production in which the charged lepton from the W boson decay is undetected. Neural networks are used to separate signal from background. In the absence of a signal, we set limits on σ (pp → VH) x B(H → bb) at the 95% C.L. of 2.6–2.3 pb, for Higgs boson masses in the range 105–135 GeV, where V = W, Z. The corresponding expected limits range from 2.8 to 2.0 pb.