[分析] uniform converge

[jason80d (阿鹹)]

遇到一題高微題寫不太出來

上來問一下板上的大大們

題目如下

  Prove that for every continuous f:[a,b]→R that is differentiable on (a,b)

there is a sequence {fn}n=1→∞ of continuous functions that are not

differentiable at any point in (a,b), which converges uniformly to f




不太曉得要從哪裡做

想聽聽板友們的意見


謝謝

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