Explain why The Ratio Test is unsuitable for determining the convergence of the given series. To elucidate this limitation and establish convergence or divergence, an alternative test should be employed. Please elaborate on which test is deemed appropriate for the specific series in question and subsequently evaluate whether the series converges or diverges based on the chosen test ∞ n² Σ(-1)n+1 n³ + 1 n=1

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