1 = 1
1 = (-1) + 2
1 = (-2) + 3
1 = (-3) + 4
1 = (-4) + 5 ... And so on...
By adding term by term to all these equations, we get: 1 + 1 + 1 + 1 + 1 + 1 + ... = 1 + (-1) + 2 + (-2) + 3 + (-3) + 4 + (-4) + 5 + ...
In the expression on the right, all the terms cancel out in pairs, giving: 1 + 1 + 1 + 1 + 1 + 1 + ... = 0
The expression on the left, consisting of an infinite sum of terms equal to 1, tends to infinity. Thus, 0 is equal to infinity.
And yet 0 is not equal to infinity. So where is the mistake?
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