Practice: Monotone Convergence Theorem

Which of the following describes the least upper bound ℓ of a subset 𝑆 of numbers?

  • Athe largest number amongst all 𝑠∈𝑆
  • Bthe number ℓ so that if 𝑠∈𝑆, then ℓ≥𝑠
  • Cthe number ℓ so that if 𝑏≥𝑠 for all 𝑠∈𝑆, then ℓ≤𝑏
  • Dthe number ℓ so that if 𝑏≤𝑠 for all 𝑠∈𝑆, then ℓ≥𝑏
  • Ethe smallest number amongst all 𝑠∈𝑆

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