series converge or diverge?

∞

Σ ((−1)^i*(i)^2)/(i^4)*-1

i=2

I have tryed using Alternating Series Test because when the sums are worked out eg i=2 (+) number where i-3 (-) number.

- But cant figure out where they Convergence OR Divergence.

- Is there another test i can use?

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∞

Σ (n^2)/(2n +1)!

n=0

Can the ratio test be used?

I am quite confused....