Determine and state whether the series converges or diverges.

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

Problem

Determine lim⁡n→∞5n2−12n2+3\displaystyle\lim_{n\to\infty} \frac{5n^{2}-1}{2n^{2}+3} and state whether the series ∑n=1∞5n2−12n2+3\displaystyle\sum_{n=1}^{\infty} \frac{5n^{2}-1}{2n^{2}+3} converges or diverges.

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