Consider the power series $$\sum_{n=1}^{\infty} \frac{n^{6}(x + 10)^n}{10^n \cdot n^{20/3}}.$$ Find the radius of convergence $R.$ If it is infinite, type "infinity" or "inf".
Answer: $R =$

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What is the interval of convergence?
Answer (in interval notation):

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