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OpenStudy (anonymous):
proof LIM nto∞ 0.99...9=1？
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OpenStudy (anonymous):
are you asking why .99999999999999999999... = 1?
OpenStudy (anonymous):
let .99999999999... =x 10x= 9.99999999999999... x=9.999999999999999999... 10x-x=9 9x=9 x=1 1=.999999999999999999999...
OpenStudy (anonymous):
\[\lim_{n \rightarrow ?\infty}n \sqrt{n ^{2}-n} =\frac{ 1 }{ 2 }\]
hartnn (hartnn):
put y=1/n when n->infinity, y->0 replace all n by 1/y
OpenStudy (experimentx):
there are lot's of reasons ... watch this out http://www.youtube.com/watch?v=TINfzxSnnIE
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