Corollary
42
[20N]You have \(πΌ=\limsup _{xβ x_ 0} f(x)\) if and only if
\[ β z{\gt}πΌ, \text{ eventually for } xβ x_ 0, f(x){\lt} z ~ ~ ; \]
\[ β z{\lt}πΌ, \text{ frequently for } xβ x_ 0, f(x){\gt} z ~ ~ . \]
EDB β 20N
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