In calculus, we define a function f to be continuous at a real number a provided that for every " > 0, there exists a ı > 0 such that if jx aj < ı, thenjf .x/f .a/j<".
Note: The symbol " is the lowercase Greek letter epsilon, and the symbol ı is the lowercase Greek letter delta.
Complete each of the following sentences using the appropriate symbols for quantifiers:
(a) Afunctionf
(b) Afunctionf
Complete the following sentence in English without using symbols for quan- tifiers:
(c) Afunctionf