I was looking at this link (https://personal.math.ubc.ca/~CLP/CLP1/clp_1_dc/ssec_taylor_error.html) which shows how to calculate the error of a Taylor series based on how many terms you wish to include in the approximation:
Regarding the error of the Taylor approximation, everything in the above formula looks relatively straightforward. I am just not sure how to select a value of $c$. This indicates that $c$ should be between $a$ (the point at which you are approximating the function with the Taylor series) and $x$ (the point at which you are evaluating the approximation of the Taylor series at).
But apart from this, is there some standard method of selecting $c$?
Thanks!