试证明: 设Γ是R 1 上的一个连续函数族.若对每一个x∈R 1 ,均存在M x >0,使得 |f(x)|≤M x (f∈Γ). 则存在M>0,以及开集 ,使得 |f(x)|≤M (f∈Γ,x∈G).
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