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Jotadiolyne Dicci
Jul 14, 2020

Find an inequality with more precise bound?

We all know that :


for all x in the real numbers.


However, after some research, i found a more precise inequality :





But now i just want to know what more precise inequality you could find out ! Just two things :

  • The boundaries must not have any floor or ceil function in them

  • The inequality must work for all x in the real numbers

I am interested what we could find out !

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