The set of all x at which the power series \(\mathop \sum \nolimits_{n = 1}^\infty \frac{n}{{{{\left( {2n + 1} \right)}^2}}}{\left( {x - 2} \right)^{3n}}\) converges is

1
[-1, 1)
2
[-1, 1]
3
[1, 3)
4
[1, 3]

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