# What does this limit indicate?

$$\lim_{x\rightarrow\infty} \zeta(x)-\zeta(x)^{-1}-\zeta(x)^2 = -1$$

What does this limit indicate?

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Where did you find this limit? Was it really mentioned without interpretation or anything? –  1015 Apr 19 '13 at 11:45
I had this formula for $\zeta(0)$ and decided to find out it it translated to the other values. –  Fred Kline Apr 19 '13 at 11:47

That $\zeta(x)\to1$ when $x\to+\infty$, period.