Discrete Mathematic or Structure
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 .
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