Need help determining whether the following infinite series converges or diverges, please state what convergence/divergence test was used.
$$\sum_{i=1}^{\infty} \frac{3-\cos{i}}{i^{2/3}-2}$$
Side Note: How can I make the equation bigger, it's kind of small with using only $$.
Hint
$$\;\frac{3-\cos i}{i^{2/3}-2}\ge\frac2{i^{2/3}}\ldots$$
Observe the series is positive for all but a finite number of summands.