Calculating the Limit of a Floor Function as X Approaches Infinity

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The limit of the expression x*[1/x] as x approaches infinity is being analyzed. It is noted that the floor function [1/x] equals 0 for all x greater than 1. Therefore, the limit simplifies to calculating lim_{x -> infinity} 0. The conclusion is that the limit approaches 0. This confirms that as x increases, the value of the expression converges to 0.
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need to calculate lim X->infinity of x*[1/x] , while [] represent floor function .


TNX.
 
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Isn't [1/x] = 0 for all x > 1 ?
i.e. you want to calculate lim_{x -> infinity} 0 ?
 
ok tnx ...
 

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