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We construct an invariant of the bi-Lipschitz contact equivalence ofcontinuous function germs definable in a polynomially bounded o-minimalstructure, such as semialgebraic functions. For a germ $f,$ the invariant isgiven in terms of the leading coefficients of the asymptotic expansions of $f$along the connected components of the tangency variety of $f.$

Invariants of the bi-Lipschitz contact equivalence of continuous definable function germs