Recent analysis of the WMAP three year data suggests Non-Gaussianity in the WMAP convention. It is necessary to make sure whether general single field inflation can produce a large positive Non-Gaussianity before turning to other scenarios. We give some examples to generate a large positive Non-Gaussianity in general single field inflation. Our models are different from ghost inflation. Due to the appearance of non-conventional kinetic terms, Non-Gaussianity can be realized in single field inflation.

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