Define f : [0, 1] - R by f(x) = x -. Using the proof of...

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Define f : [0, 1] - R by f(x) = x -. Using the proof of the Weierstrass Approximation Theorem, find an explicit formula for a polynomial p : R - R such that |f(x) – p(x)I < for all x € [0, 1]. Define f : [0, 1] - R by f(x) = x -. Using the proof of the Weierstrass Approximation Theorem, find an explicit formula for a polynomial p : R - R such that |f(x) – p(x)I < for all x € [0, 1].