EDB β€” 29S

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  1. [29S]Prerequisites:[29R].(Solved on 2022-11-24)

    Let \(IβŠ‚ ℝ\), \(x_ 0∈ \overline{ℝ}\) accumulation point of \(I\), and \(f,g:Iβ†’ ℝ\) functions. Prove that

    \[ \limsup _{x→ x_ 0} \big( f(x) + g(x) \big) \le \limsup _{x→ x_ 0} f(x) + \limsup _{x→ x_ 0} g(x)\quad . \]
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Authors: "Mennucci , Andrea C. G." .
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  • limsup, of function
  • liminf, of function
  • real numbers
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