What is the Left Hand limit of the function , where
indicates the Floor Function?
Note that the following essential points.
The Right Hand limit of the function at is .
The Left Hand limit of the function at is .
Here, h is positive and infinitely small.
The Floor Function indicates the greatest integer function [GIF] denoted mathematically as , for only real values. This function
rounds downs the real number having any fractional or decimal part (if any) to the nearest integral value less than the indicated number.
For the GIF
The Left Hand limit of the function is
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