Question
Find the radius of convergence and the interval of convergence of the power series.$$\sum_{n=1}^{\infty} n^{2} x^{n}$$
Step 1
The Ratio Test states that if $\lim_{n\to\infty} \left|\frac{a_{n+1}}{a_n}\right| = L$, then the series converges if $L < 1$, diverges if $L > 1$, and is inconclusive if $L = 1$. Show more…
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