query: Set of discontinuities of a function that has both limits at each point of $R$
positive_passages.docid: 18511
positive_passages.text: Can we construct a function that has uncountable many jump discontinuities?
negative_passages.docid: 125821
negative_passages.text: Evaluating limits at positive and negative infinity
negative_passages.docid: 33310
negative_passages.text: Proving that the set of limit points of a set is closed
negative_passages.docid: 47820
negative_passages.text: How can I show a supremum of a set is also its limit point?
negative_passages.docid: 15820
negative_passages.text: Discontinuous linear functional
negative_passages.docid: 57785
negative_passages.text: Finding all maxima and minima of a function
negative_passages.docid: 126259
negative_passages.text: Minimum of a function on an open interval
negative_passages.docid: 157731
negative_passages.text: Show that one-sided limits always exist for a monotone function (on an interval)
negative_passages.docid: 150346
negative_passages.text: If $f$ is an increasing function defined on $[a,b]$ . Then, $f$ has countable number of discontinuities
negative_passages.docid: 17223
negative_passages.text: Continuity of an inverse function.
negative_passages.docid: 41841
negative_passages.text: Function with limits only at irrational points
negative_passages.docid: 36994
negative_passages.text: Finding the limit of a 2-dimensional function
negative_passages.docid: 28413
negative_passages.text: Limit of a continuous function
negative_passages.docid: 64523
negative_passages.text: interior points and limit points of $\{(x,y): x^2+2y^2 < 1\}$
negative_passages.docid: 43001
negative_passages.text: Proof for Dirichlet Function and discontinuous
negative_passages.docid: 78687
negative_passages.text: Integral with a discontinuity point
negative_passages.docid: 134752
negative_passages.text: Proof (epsilon delta) for the continuity of a function at a point