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In class, we generated digits of using a Taylor series for tan-'(x) (evaluated at x = 1 and then multiplied by 4). There are better
In class, we generated digits of using a Taylor series for tan-'(x) (evaluated at x = 1 and then multiplied by 4). There are better ways! Here are three other series that could be used: Madhava's representation: == V1Z +1 Newton's: = 25 24! 2 2k+1)! . Ramanujan's: 1-2 v2 9801 4k)!(1103 +26390k) (K!) 43964 For each series, add up to the k = 10 term. Store the corresponding approximations to a in variables called sumMadhava, sumNewton, and sumRamanujan. Keep in mind that the Ramanujan sum approximates 1 , so it must be inverted at the end to get an approximation to Print the results to the screen, and compare with the actual value of . Script C Reset MATLAB Documentation i format long %to display many decimal places 2 XFind sumMadhava Find sumNewton
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