Question: For a given iteration of the Bisection method the absolute relative approximate error is defined as Ea = | xm x m | / xm
For a given iteration of the Bisection method the absolute relative approximate error is defined as
Ea xm xmxm
where xm is the estimate from the previous iteration. Show that
Ea xl xuxl xu
Hint: use a proof by cases on the case of when xl xm and on the case of when xu xm
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