Discrete mathematic/structure

2. (10 points) A real function f is said to be continuous at a point x when the following holds: For every E > 0, there exists a 8 > 0 such that for every real number t, if \t - x\ < 8 then \f(x) - f(t)\ < E. Write a quantified statement that captures what it means for f to not be continuous at x, i.e. write the negation of this statement. The final negated statement must have the correct three quantifiers before any language of negation is present . For example, writing "It is not the case that", and then the above statement is insufficient for credit .