Find the interval of convergence of \begin{equation*} \sum_{n=0}^{\infty} 27^n (x - 4)^{3n+2} \end{equation*} (Use symbolic notation and fractions where needed. Use inf for infinity, U for combining intervals, and appropriate types of parenthesis [ ] or ( ) to indicate whether the interval is open or closed. Enter DNE if interval is empty.)
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