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May 30th, 2019, 07:03 PM   #11
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Joined: Oct 2018
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Math Focus: Algebraic Geometry
Quote:
 Originally Posted by skipjack Why do that? As you showed, it has no integer solution.
I didn't do a very good job of getting across what I was trying to do. I was trying to show that since the $n$ equality happens at $n=-\frac{1}{2}$ the inequality doesn't "swap". Namely, the greater one at $n=0$ remains the greater one for $n>0$. Similarly, the greater one at $n=-1$ remains the greater one for $n<-1$. This just gives definite information on which number is greater for some $n$.

So it means $(-1)^{-i} > (-1)^{i}$ for the sheets where $n \geq 0$

 May 30th, 2019, 09:33 PM #12 Senior Member   Joined: Dec 2015 From: somewhere Posts: 536 Thanks: 81 Check this one : https://math.stackexchange.com/quest...-a-real-number

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