Let f $.$x$/$ D p$1$ C x$21.$

$($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?