Main Question or Discussion Point
In my BC calc class, we just finished working through most of series and sequences, and as we were reviewing years past free response questions on the topic, and in 2004, they dropped a lagrange error analysis. I've been looking at different explanations, but I'm not getting the concept. It seems like it is just the next term of the series, so how can it account for all of the remaining terms for a polynomial approximation of a function like f(x) = sin (x). Also, what is the deal with the whole c being between x and a. If anyone could enlighten me as to the meaning of all this, I would be most appreciative. Maybe a sample problem...