Question: PROBLEM 1 (5 pts): If - 1 f(x) 1 + In(1+x) is computed in fl-arithmetic by the straightforward algorithm then there will be a loss

PROBLEM 1 (5 pts): If - 1 f(x) 1 + In(1+x)

PROBLEM 1 (5 pts): If - 1 f(x) 1 + In(1+x) is computed in fl-arithmetic by the straightforward algorithm then there will be a loss of precision for x close to zero. Briefly explain why. Next, propose an algorithm for computing f(x) that will produce small relative error for x close to zero. PROBLEM 1 (5 pts): If - 1 f(x) 1 + In(1+x) is computed in fl-arithmetic by the straightforward algorithm then there will be a loss of precision for x close to zero. Briefly explain why. Next, propose an algorithm for computing f(x) that will produce small relative error for x close to zero

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