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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?