For each n ? N, let f_n(x) = a_nx + b_n where a_n,b_n are sequences of...

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For each n ? N, let f_n(x) = a_nx + b_n where a_n,b_n aresequences of real numbers. Prove that if f_n ? f on [0,1] where fis a function on [0,1], then the convergence is necessarilyuniform.

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