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Suppose p(x)=a0+a1x+a2x^2+...+an x^ndot ...

Suppose `p(x)=a_0+a_1x+a_2x^2+...+a_n x^ndot` If `|p(x)|lt=|e^(x-1)-1|` for all `xgeq0,` prove that `|a_1+2a_2+...+n a_n|lt=1.`

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