Interval of Convergence of a power series

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given that a power series is centered at $x=3$ and knowing that it covnerges at $x=5$ and diverges at $x=0$ what conclusions can we make about the interval of convergence for the series?

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The radius to convergence is greater or equal $2$ and less than or equal $3$

The interval of convergence includes $(1,5]$ and in contained in $(0,6]$

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Then the radius of convergence is at least $|3-5|=2$ and at most $|3-0|=3$