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證明:由於f(x)、g(x)分別是(-a,a)上的奇函數和偶函數,∀x∈(-a,a),則f(-x)=-f(x),g(-x)=g(x).∴f(-x)•g(-x)=-f(x)•g(x),∴函數f(x)•g(x)是(-a,a)上的奇函數.
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