  In this paper we derive some new Hodge integral identities by taking limits
of the Marino-Vafa formula. These identities include the formula of
lambda_{1}lambda_{g}-integral on M_{g,1}, the vanishing result of
lambda_{g}ch_{2l}(E)-integral on M_{g,1} for l taking value between 1 and g-3.
Finally, we give another simple proof of lambda_{g} conjecture and some
examples of low genus integral.
