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    Weierstrass Approximation Theroem

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    Note: abs = absolute value

    Define f(x) = abs(x - 1/2) for 0 <=x <= 1. Use the proof of the Approximation Theorem to find an explicit polynomial p:R->R such that abs(f(x) - p(x)) < 1/4 for all x in [0,1]

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    Solution Summary

    The Weierstrass Approximation Theroem is used to define the relationship between a function and a polynomial. The solution is detailed and well presented.