I have rechecked this problem so many times, and even my tutor got stuck on this. Can someone tell me what I did wrong?
My homework says I got at least one question wrong. And my tutor was confused too!.
2026-04-01 04:34:03.1775018043
Puzzled at this alternating series problem.
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$$\frac{n^2+8}{n^2+7}=1+\frac1{n^2+7}\xrightarrow[n\to\infty]{}1$$
and thus, as Simon commented, the general term's sequence does not converge to zero, and then the series diverges....and thus you have at least one answer wrong.