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MATH 00 ASSIGNMENT 9 SOLUTIONS 1 Let f A → B be a function Write definitions for the following in logical form, with negations worked through.
Gqe pxy. 11 $ Y p = w Ú. W A g ¤. 22 3 Continuous Functions If c ∈ A is an accumulation point of A, then continuity of f at c is equivalent to the condition that lim x!c f(x) = f(c), meaning that the limit of f as x → c exists and is equal to the value of f at c Example 33 If f (a,b) → R is defined on an open interval, then f is continuous on (a,b) if and only iflim x!c f(x) = f(c) for every a <.
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