# .9999~ = 1?

**URL:** <https://forums.speedlife.net/t/9999-1/21287>\
**Category:** NYSpeed Off Topic\
**Created:** [December 6, 2006, 7:56pm UTC](https://forums.speedlife.net/t/9999-1/21287 "2006-12-06T19:56:18Z")\
**Posts on this page:** 1\
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**Author:** ![brent\_strong](https://yyz2.discourse-cdn.com/flex034/user_avatar/forums.speedlife.net/brent_strong/32/7203_2.png) [@brent\_strong](https://forums.speedlife.net/u/brent_strong)\
**Post date:** [December 6, 2006, 8:06pm UTC](https://forums.speedlife.net/t/9999-1/21287/10 "2006-12-06T20:06:53Z")

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THERE IS NO OTHER NUMBER THAT THE SEQUENCE GETS ARBITRARILY CLOSE TO.

Thus, if you are going to assign a value to .9999… (going on  
forever), the only sensible value is 1.

There is nothing special about .999… The idea that 1/3 = .3333…  
is the same. None of .3, .33, .333333, etc. is exactly equal to 1/3,  
but with each 3 added, the fraction is closer than the previous  
approximation. In addition, 1/3 is the ONLY number that the series  
gets arbitrarily close to.

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