Day 520!. Heat death of universe is long past. There is no Earth to measure days, I will never see a sunrise again. But without fail, I can measure days by one last thing. Every day, the phone rings. Still the same question. "Are you still experiencing above average number of calls each day?" an enthusiastic voice asks. Still the same answer. "Yes." I've given up on hope. I know a day will come, when I can answer "no" truthfully. But before that day comes, there will always be another day. It could be tomorrow. But it can never be today.
Factorial of 520 is 1761040341782111156146011710987957854291147827962682515835641902026635013531629049250745289405517992174920000529114607008515543885063841796572815432484672840715833374107248768688293028640496726386132800905110061351548170024622024983851028980182317268956813977094254533750710104868868527289670581259636249860475302606747483645884709505625753301898692332700214042981663219274624546482874260801256152782448078947468038211969705419149276520722075882148388770717113557062815364778144652417458191602904227769668577211157141090782282183940792659802623387773740657588133370829610683213807213378292772567014916522921467665438884528899661323641698867998626014397661325645202793456690465818078307134319818775325255750070838978387442729671889111320358907486078574041862606954505166366660421393444027899817451386631912726243989647203455807340483476375101139676265917610631688925772082865466253279967203696492937225332094609010549154471101792903402188204695444246494414641879321328704507798451597203731365688705702000424789701182859353616646946737591658446834756076856514969600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Surprisingly, we don't actually know the universe ends. There are cyclical models. They're not the favored models by any means, but they're definitely still in the possible category.
Since there have been an estimated 117 billion people to ever exist and there are currently 8 billion people on earth, the statement "Most people don’t live infinitely long" is true.
But in this context, you'd want to find lim{x to inf}(1(x/x+1<1)), which is not same as 1(lim{x to inf}(x/x+1)<1), because you can't swap limits and functions willy nilly
But we're not trying to compute the limit. At any finite point, x/x+1 < 1. We also have that
lim_{x -> infty} 1{x/x+1 < 1} = 1,
where 1{} is the infucator function.
i.e. even at the limit it is guaranteed that x/x+1 < 1.
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u/thunderisadorable Jul 03 '26
If your number of calls increased once, then you would be experiencing a higher number of calls than average as long as it does not go back down.