Does the series converge or diverge

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Does the series ∑n=1∞2n3+1n4−n+2\displaystyle\sum_{n=1}^{\infty} \frac{2n^{3}+1}{n^{4}-n+2} converge or diverge? State your conclusion.

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