Question: Let f . x / D p 1 C x 2 1 . ( a ) Explain the difficulty of computing f . x /

Let f .x/ D p1 C x21.
(a) Explain the difficulty of computing f .x/ for a small value of jxj and show
how it can be circumvented.
(b) Compute .cond f /.x/ and discuss the conditioning of f .x/ for small jxj.
(c) How can the answers to (a) and (b) be reconciled?

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