But I may have gotten “scale” wrong here. If we scale the error at the same time as we scale the part we’re looking at, then differentiability is necessary and sufficient. If we’re concerned about approximating the function, on a smallish part, then continuous is what we’re looking for.
Indeed.
But I may have gotten “scale” wrong here. If we scale the error at the same time as we scale the part we’re looking at, then differentiability is necessary and sufficient. If we’re concerned about approximating the function, on a smallish part, then continuous is what we’re looking for.