3. Give the radius and interval of convergence for each of the power series. b. $\sum_{n=1}^{\infty} \frac{n^3}{3^n} x^n$
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$$ \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| = \lim_{n \to \infty} \left| \frac{\frac{(n+1)^3}{3^{n+1}} x^{n+1}}{\frac{n^3}{3^n} x^n} \right| $$ Show more…
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