@ b555, let the no of digits after decimal in LHS be n and the no of digits in RHS be m........................
2.2........(n times)>2.2.....(m times) if and only if n>m
if n and and m are infinite and 2.2........(n times)=2.2.....(m times)
then n must be=m
is 2.222...........= 10*(0.2222........)
because 2.2222.... contains some infinite digits and 0.222.... contains another infinite digits also
so, some infinite value = another infinite value
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4 Answers
Shubhodip
·2011-04-24 11:04:09
I don't understand what u tried to mean by giving examples of recurring decimals. (do u either?:P) But I guess your doubt is 1)if two numbers are infinitely large, are they equal? 2)if two numbers are infinitely small(say infinitesimal from nowon) , are they equal?
Shubhodip
·2011-04-24 11:08:14
The answer to the above question is sometimes yes, and sometimes no.(can you think of examples?)
Arnab Kundu
·2011-04-25 06:11:56