If all real numbers were to be multiplied to each other, what would be the product?
(a) Undefined
(b) Imaginary Number
(c) None of these
(In reply to
My take by Jer)
My observation applies equally to all the rational. Pair each number with twice its reciprocal and we wind up with an infinitely big product. Pair each number with half its reciprocal and we wind up with 0. The really answer is that the extended product would be undefined if it existed. And yes, if we add one number at a time, the product does not converge.
re: My take
