$$\lim_{x\rightarrow\infty} \zeta(x)-\zeta(x)^{-1}-\zeta(x)^2 = -1$$
What does this limit indicate?
That $\zeta(x)\to1$ when $x\to+\infty$, period.
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That $\zeta(x)\to1$ when $x\to+\infty$, period.