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Calculations are performed for electron scattering from LiH. These show that use of a close-coupled expansion gives results significantly different from calculations performed at the static exchange level employed in all previous calculations. In particular the close-coupled calculations find a Feshbach resonance which follows the first excited, a3Σ-, state curve. This resonance could provide a route to dissociative attachment and electron impact vibrational excitation. Elastic scattering cross sections, which are very large, as well as inelastic cross sections for excitation to the four lowest electronically excited states are presented as a function of LiH bond length.