Finding absolute and approximate errors

Given the approximation series of the logarithmic function below,

(I’m not sure how to express this equation so I had to take a picture of it, sorry)

I want to write a function, called error comparison, that determines both the absolute and relative errors of the approximation as a function of the approximation order, n, and the value of x.

[abserror,relerror] = error_comparison(x,n)
abserror= abs(x - n)
relerror: abs(x - n) / min(abs(x), abs(n))

any suggestions on how to continue?

[Jan]

"Your plot labels should be..." seems to show, that this is a homework question. Please mention this explicitly, because homework question require a different strategy for answering: If a complete solution is posted, you cannot submit the homework without cheating anymore.

[José-Luis]

Try and write your equation first. If you don't know how, please read the getting started part of the documentation, and ask a more specific question in this forum. This looks like homework. It is generally frowned upon to ask other people to do your homework.

Answer 1

[Jan]

Now you should implement the formula as a function. Now there are two alternatives: Either create two for loops to vary n and x, or insert the loop over n inside the function foir the stimation of ln and let this function reply the values for 1:n.

If you get explicit problems with the implementation, please append them to your question by editing and mark this by a "[EDITED]" tag in the text.