If Im not wrong when we use the command
N we are using float point numbers in machine precision, right? And the machine precision depends on the bits of the CPU where Mathematica is installed. Then, by example, irrational numbers are truncated at some place and there is some error associated to the magnitude of the truncated number.
Then I'm using the following list of values
where I cant quit the
N to speed up other calculations over this list. But I need to know what is the accumulated error of the last element in this list. And, if it would be possible, I would like to graph this list inside the increasing area of accumulated error relative to each value of the list.
But searching (almost randomly) in the documentation of Wolfram Mathematica I dont found something that make me think how I can do this. Can someone help me? Thank you in advance.