1. (10 points) Let f(x) = √√1- xn - 1 where n ≥ 2. a) (1 points) Explain the difficulty of computing f(x) for a small va
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1. (10 points) Let f(x) = √√1- xn - 1 where n ≥ 2. a) (1 points) Explain the difficulty of computing f(x) for a small va
1. (10 points) Let f(x) = √√1- xn - 1 where n ≥ 2. a) (1 points) Explain the difficulty of computing f(x) for a small value of x| (i.e., x → 0). b) (4 points) Show how the difficulty in computing f(x) can be circumvented. c) (5 points) Compute the condition number of f(x) for x → 0.
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