1) 1/∞ = 2/∞
2) (∞/∞)(1/∞)=(∞/∞)(2/∞)
3) 1∞=2∞
4) ∞=∞
The error involves simply canceling out the infinity denominator, when one needs to multiply each side by infinity over infinity (which reduces to 1/1 or 1).
Now you have 2*∞ = 1*∞ which is true mathematically.
Reduce to ∞=∞.
Q.E.D.