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Medium

July 6th
Questions
  • What is the term for a set that contains all its limit points?
  • What is the name of the property a metric space has if every Cauchy sequence in it converges to a limit within the space?
  • Which type of function is guaranteed to attain its maximum and minimum values on a closed and bounded interval?
  • What is the term for a function that can be written as the limit of a sequence of step functions?
  • What is the term for a set that can be covered by finitely many open intervals of arbitrarily small total length?

Expert

August 7th
Questions
  • Which theorem states that a continuous function on a closed interval is uniformly continuous?
  • What is the limit of the sequence (1 + 1/n)^n as n approaches infinity?
  • What is the value of the integral from 0 to infinity of e^(-x^2) dx?
  • Which theorem states that every bounded sequence has a convergent subsequence?