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/sci/ - Science & Math

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4157033 No.4157033 [Reply] [Original]

Is infinity+1 bigger than infinity?

>> No.4157037

Infinity plus one is included in just regular infinity.

>> No.4157050
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4157050

it's bigger. this is why you can't divide by 0 but you can divide by 0+1, one answer is bigger than no answer

>> No.4157051

>>4157033

Depends to which Infinity you refer to.

>> No.4157057

>>4157033
This is most likely just a troll, but no.

Take the limit of n->infinity of (n+1)/n

Through L'hopital's rule, we take the derivative of the top and the bottom and find that the limit is 1/1, or 1. So, n+1/n =~ 1, and n + 1 is thus no bigger than n when both quantities are near infinity.

You can replace 1 with any finite number and have this also work, which is why infinity is so counterintuitive a concept.

>> No.4157073

what about 2*infinity?

>> No.4157103

>>4157033
They're the same number in common modern transfinite math.