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In this study, we examined one experienced mathematician’s class practices, with particular attention to cognitive model described in genetic decomposition. Four limit lessons and implemented tasks were analyzed to determine if students had opportunities to be familiar with the first three steps in genetic decomposition. Our findings indicate that students only had limited opportunities to be familiar with the first three steps in genetic decomposition, which may potentially lead students to answer limit tasks correctly, but not necessarily having a deep conceptual understanding behind those tasks.