The following is a formal definition for if, and only if,

Chapter 11, Problem 3E

(choose chapter or problem)

Problem 3E

The following is a formal definition for if, and only if, ∃ positive real numbers k, A, and B such that ∀x > k, A|g(x)| ≤ | f (x)| ≤ B|g(x)|.

a. Write the formal negation for the definition using the symbols ∀ and ∃.

b. Restate the negation less formally without using the symbols ∀ and ∃.

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