/sci/ - Science & Math

>>9594200
>You are treating the 1 value that it could maximally possibly be as the real number one instead of the vague analog of infinity, and consider this converging to 1, when in reality it is just diverging towards infinity.
What the fuck would you call pic related then? The reason it converges is because it tends towards that one value. There will never be any condition where it reaches beyond that value for any value declared by "cutting" a sequence somewhere, there will always be another value bigger than it but is still below the value that it converges to. It's only logical that if you were to allow a sequence to approach infinity in the domain, the range will never reach beyond +1. Divergence means that it does not tend to anything, it will reach all possible values in the range.