1. The following fractions produce better and better approximations to √√/2: 1 3 7 17 41 1' 2' 5' 12' 29 If a/b is on th
Posted: Thu Jun 30, 2022 7:34 pm
1. The following fractions produce better and better approximations to √√/2: 1 3 7 17 41 1' 2' 5' 12' 29 If a/b is on this list, then the next fraction is (a+2b)/(a+b). Find the first fraction on this list such that when it is used as a rational approximation to √2, the absolute value of the relative error is less than 10-5. Hint: be sure to distinguish error and relative error.