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.

Shouldn't 1/n being unbounded imply 1/n^2 is also unbounded..? Perhaps not i guess, though it seems logical..