Comment : Continuity quiz
Comment : This quiz is designed to test your knowledge of limits of functions and
Comment : of continuity and uniform continuity.

Question 1: Let X be a subset of R. What does it mean for x to be an adherent point of X?


For every epsilon > 0, there exists a y in X such that |y-x| < epsilon.
For every epsilon > 0, there exists a y in X such that 0 < |y-x| < epsilon.
There exists epsilon > 0 and y in X such that 0 < |y-x| < epsilon.
For every epsilon > 0 and all y in X, we have |y-x| < epsilon.
For every y in X, there exists epsilon > 0 such that |y-x| < epsilon.
There exists epsilon > 0 such that 0 < |y-x| < epsilon for all y in X.
There exists y in X such that |y-x| < epsilon for all epsilon > 0.