Are the following statements true or false? Give reasons for your answer.
 a) Complement of the open interval ]1,0] is an open set.

 b) Every bounded sequences is not convergent.

 c) The function [:f − 2,2 ] → R defined by  is uniformly continuous.

 d) If the first derivative of a function at a point vanishes, then it has an extreme value at that point.

 
 e) The function  defined by  is not integrable. 

a) False. The complement of the open interval ]1,0] includes the interval (0, 1) along with points less than or equal to 0 and greater than 1. This set is not open because it ____ _______ __________ _________ ___ _______ ________ ________ ______ _______.
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