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Remark 44

[0BM]Note that

\[ \liminf _{xβ†’ x_ 0} f(x) =∞ ⟺ \lim _{xβ†’ x_ 0} f(x) =∞ \]

and

\[ \limsup _{xβ†’ x_ 0} f(x) =-∞ ⟺ \lim _{xβ†’ x_ 0} f(x) =-∞ \]

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  • limsup, of function
  • liminf, of function
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