Question: Problem 2 (3 pts): If f(1) = 31+2 -1 is computed in fl-arithmetic by the formula (3.0 +2 +1.0)/(1.0 - ) - 1.0/1.0 - 2+2)

Problem 2 (3 pts): If f(1) = 31+2 -1 is computed

Problem 2 (3 pts): If f(1) = 31+2 -1 is computed in fl-arithmetic by the formula (3.0 +2 +1.0)/(1.0 - ) - 1.0/1.0 - 2+2) then there will be a loss of precision for 2 close to zero. Explain why. Propose an algorithm for computing f(x) that will produce small relative error for close to zero. Problem 2 (3 pts): If f(1) = 31+2 -1 is computed in fl-arithmetic by the formula (3.0 +2 +1.0)/(1.0 - ) - 1.0/1.0 - 2+2) then there will be a loss of precision for 2 close to zero. Explain why. Propose an algorithm for computing f(x) that will produce small relative error for close to zero

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