Show that when approximating a positive real number x∈R + in normalized floating-point form with machine number x*=rd(x)∈R(t,s) also in in normalized floating-point form, the relative error of the approximation can be bounded as |(x-x*)/x|=|(x*-x)/x| ≤2^-t
Estimate the numerator from abve using the formula by separating it into two cases: Case 1 : b _(−t−1)=0 and Case 2: b _(−t−1) =1. 2. Note that in the second case x