Question
Find the radius of convergence and the interval of convergence of the power series.$$\sum_{n=0}^{\infty} \frac{(2 x)^{n}}{3^{n}}$$
Step 1
The Ratio Test states that if the limit as n approaches infinity of the absolute value of the ratio of the (n+1)th term to the nth term of a series is less than 1, then the series converges. Show more…
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