The Sky’s the Limit

Most mathematicians agree that 1/0 = ∞ (infinity) and that 1/∞ = 0. However, this consensus breaks down when confronted with what 0/0 is … or what ∞/∞ is. I think that most mathematicians today would say that 0/0 = 0 and ∞/∞ = ∞. I disagree … and assert that both 0/0 = 1 and ∞/∞ = 1. Here are my rationales for this … derived from the use of limit theory (the basis for the Calculus):

1/1 = 1
0.1/0.1 = 1
0.01/0.01 = 1
0.001/0.001 =1
0.0001/0.0001 = 1
0.00001/0.00001 = 1
0.000001/0.000001 = 1
And so forth
Ergo:
0/0 =1

and

1/1 = 1
10/10 = 1
100/100 = 1
1,000/1,000 =1
10,000/10,000 = 1
100,000/100,000 = 1
1,000,000/1,000,000 = 1
And so forth
Ergo:
∞/∞ = 1

All I ask is that I (George W. Potts) be so acknowledged for these assertions in mathematics anthologies.