Monday, 26 October 2015

Why 0.999... isn't the largest number before 1?

Why doesn't it called like that? It seems fair, 1 called 1 while 0.999... being the largest number before 1, and not called 1 while not look like it is. Let's say it isn't, how would that number look like?

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...