Use the Root Test to determine whether the series is convergent or divergent. Show/explain your justification. $\sum_{n=1}^{\infty} \left(\frac{2n - 1}{5n + 3}\right)^n$
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Step 1: The Root Test states that if $$ \lim_{n \to \infty} \sqrt[n]{|a_n|} = L, $$ then the series $\sum a_n$ converges if $L < 1$, diverges if $L > 1$, and the test is inconclusive if $L = 1$. Show more…
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