Physical proof that infinity isn't real

Physicist frequently use infinity when talking about fields (ex. V = integral of E*dr from 0 to infinity) but if the fields were infinite, be they gravitational or electric, they would span the entire universe and all things effected by it would collapse into a single, crushing point. This has clearly not happened and is not happening. QED, infinity is not real.

the question is, Does the second set decrease fast enough to be bounded?
If we look at the squirrel, he might take steps of 90%, which drops quickly 90%, 9%, 1%, ... or he may take steps of 1%, but i'm unsure if you have such a situation....