What Does a Lim with an Underline or Overline Mean?

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SUMMARY

The discussion centers on the mathematical notation of "Lim" with an underline or overline, specifically referring to "Lim Inf" and "Lim Sup." Participants confirm that the underlined "Lim" denotes the limit inferior (Lim Inf), while the overlined "Lim" signifies the limit superior (Lim Sup). This notation is essential for understanding the behavior of sequences and functions in mathematical analysis.

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  • Understanding of basic calculus concepts
  • Familiarity with sequences and limits
  • Knowledge of mathematical notation
  • Basic principles of real analysis
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  • Study the definitions and properties of limit inferior and limit superior
  • Explore examples of sequences that illustrate Lim Inf and Lim Sup
  • Learn about convergence and divergence in sequences
  • Investigate the applications of these concepts in real analysis
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Students of mathematics, educators teaching calculus or real analysis, and anyone interested in advanced mathematical notation and its implications.

moo5003
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My professor started using a Lim with and underline or overline on it. I was wondering what this means?

My first guess is Lim Inf and Lim Sup respectively but I would like some confirmation.
 
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