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Find the interval of convergence of the power series. ( Be sure to include a check for convergence at the endpoints of the interval. If

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the answer is an interval, enter your answer using interval notation. If the answer is a finite set of values, enter your answers as a comma-separated list of values.)
\sum _{n=1}^{\infty }\:\frac{n!\left(x+8\right)^n}{1\cdot 3\cdot 5...\left(2n-1\right)}

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