How can I calculate the diameter of $A$ given by:
\begin{equation*}A:=\left\{x\in\ell^{2} : \sum_{n\in\mathbb{N}} \left(1+\frac{1}{n}\right)^{2}|x_{n}|^{2} \leq 1\right\}.\end{equation*}
Regards!
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