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Properties of superior and Inferior

Xn is a bounded in R, inferior of Xn+ of Yn <= Limit inferior of (Xn+Yn)<= of (Xn+Yn)<=limit superior of Xn + Limit Superior of Yn

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https://omgmaths.com/wp-content/uploads/2021/03/Limit-Inferior-And-Limit-Superior-Properties-Pdf.pdf