> Typically you would do a uniform (-x, x) and then take the limit. But this is completely uninformative for the interval (-inf, +inf). Taking limits is a tool

> Typically you would do a uniform (-x, x) and then take the limit. But this is completely uninformative for the interval (-inf, +inf). Taking limits is a tool you can use, and it works well when the infinite behavior matches the limit of the finite behavior. The opposite is the case here and the infinite behavior is radically unlike the finite behavior. You might as well try to determine the value of an impulse function at zero by seeing what the limit is as you approach zero.