Exercise 2.2: Numerical approximation of a zero

Approximate the zero of the function:

$ f(x) = x^3-x^2 -3\arctan(x)+1$

using the command:
>> fzero('f(x)',[-2,-1]).

Show that the approximation of the zero introduces an maximum error of $ 1\cdot10^{-4}$ .



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Esteur 2010-03-22