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1. 5 marks] Let f(x) = be + cr3' where a, b and c are nonzero constants. Find the polynomials s(x) and ((x) such that

1. 5 marks] Let f(x) = be + cr3' where a, b and c are nonzero constants. Find the polynomials s(x) and ((x) such that s(x) best approximates f(x) for small values of r, and ((x) best approximates f (a) for large values of r

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