MATH.21:4.6 - Use and revise the construction

Use the limiting object in the argument, or use the finite result for the selected observation. Keep the convergence notion and any condition needed by the next operation with that use.

A changed tolerance can require a later stage. A changed operation can require a stronger convergence result. A changed space can remove existence or uniqueness. Reopen the affected argument and retain the finite constructions and proved consequences that survive.

In modeling, interpret the resulting mathematical consequence against the subject using C.29 and the corresponding modeling method. The approximation’s mathematical convergence and its ability to answer the subject question remain separately assessable.