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Tag: lim inf

The limit inferior and the limit superior of a sequence

The limit inferior and the limit superior of a sequence

Posted on May 3, 2020February 8, 2025
Posted inMathematical analysis
In this post we'll see two concepts of mathematical analysis which will be useful in number theory: the limit inferior…
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      Molte cose non è perché sono difficili che non osiamo farle,
      ma è perché non osiamo farle che sono difficili

      Many times, it is not because things are difficult that we do not dare,
      but it is because we do not dare that things are difficult

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      • Home
      • Goldbach’s conjecture
        • Origins of the two Goldbach’s conjectures
        • Some important results
        • Other conjectures related to sums of primes
        • Our research
          • Dashed line theory
          • Proof strategies
            • Proof strategy based on dashes
            • Proof strategy based on spaces
            • Proof strategy based on factorization
        • Our readers’ contributions
          • Send us a contribution
      • Number theory
        • Foundations of number theory
        • Bertrand’s Postulate
        • Chebyshev’s Theorem (weak version)
        • Chebyshev’s Theorem (strong version)
        • The Prime Number Theorem: the “elementary” proof
        • Fun facts
      • Sieve theory
        • An overestimate of the number of Goldbach pairs
        • Chen’s Theorem
      • Tools
        • Dashed line viewer
        • Goldbach pairs viewer
        • Bidimensional sieve of Eratosthenes
        • Factorizer
        • Maximum space distance calculator
      • Info and contacts
        • About us
        • The project
        • Donations
        • Bookshop
        • Prizes
        • Send us a contribution
      • Italiano