Question: If f(x) = [(3x+1)/ (1x )] [(1)/ (1x^2)] is computed in fl-arithmetic by the formula (3.0 x + 1.0)/(1.0 x) 1.0/(1.0 x x) then there

If f(x) = [(3x+1)/ (1x )] [(1)/ (1x^2)] is computed in fl-arithmetic by the formula (3.0 x + 1.0)/(1.0 x) 1.0/(1.0 x x) then there will be a loss of precision for x close to zero. Explain why. Propose an algorithm for computing f(x) that will produce small relative error for x close to zero.

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