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A limit buy is supposed to purchase the stock at the specified price or better. Therefore, it should purchase the stock at less than the limit.
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Spot on Happy. Blain (stocktrading101) covered the topic as well which may help for clarification,
http://www.stocktradingtogo.com/2007...how-they-work/
To answer the question directly, if the opening price was $9.87 your limit order would get filled at the best ask which would be $9.87 or maybe $9.88 depending.