måndag 4 maj 2009 bild 1/1
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0.999~ = 1
lim(m --> ∞) sum(n = 1)^m (9)/(10^n) = 1
0.999~ = 1
Thus x = 0.999~
10x = 9.999~
10x - x = 9.999~ - 0.999~
9x = 9
x = 1
Kanske man är smart ändå?
lim(m --> ∞) sum(n = 1)^m (9)/(10^n) = 1
0.999~ = 1
Thus x = 0.999~
10x = 9.999~
10x - x = 9.999~ - 0.999~
9x = 9
x = 1
Annons