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In this paper a framework of analyzing the secrecy capacity of Raleigh fading multi-antenna system in presence of multiple eavesdroppers is presented. The multi-antenna system we concern adopts the transmit antenna selection with maximal-ratio combining (TAS/MRC) diversity scheme. We propose to make use of the closed-form approximations to analyze the secrecy capacity. The simulations validate the analytical results derived by the proposed framework.