[0, 1]. Define d(x, y) for all 1. Let P([0, 1]) be the set of all polynomials (of all degrees) defined on x, y by d(x, y) = max |æ(t) – y(t). Prove that (a) the function ,(t) = Eo(;)* is in P([0, 1). (b) the sequence (an) is a Cauchy sequence. (c) the sequence (xn) is not convergent.

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