Find the limit infimum and limit supremum of the following

The Correct Answer and Explanation is:

Of course. Here is the completed table with the limit infimum and limit supremum for each sequence, followed by a detailed justification.

xₙlim inf(xₙ)lim sup(xₙ)
xₙ = 3 − (−1)ⁿ24
xₙ = cos(nπ/2)-11
xₙ = (√(1+n²))/(2n-5)1/21/2
xₙ = yₙ/n
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