I was plotting various derivatives of the function $(1/\zeta)(x)$ and I noticed that:
$|(1/\zeta)^{(n)}(x)| \leq \frac{m(ln(2))^n}{2^x}$
Holds for all $x \geq 2 , n\geq 1$ where x is a real number if $m=\frac{4(|(1/\zeta)^{(n)}(2)|)}{(ln(2))^n}$.
My Question is: Is there a proof for such inequal...