(a) If the symbol [ ] denotes the greatest integer function defined in Example 10, evaluate
(i) lim x→–2+ [x] (ii) lim x→–2 [x] (iii) lim x→–2.4 [x]
(b) If n is an integer, evaluate
(i) lim x→ n– [x] (ii) lim x→ n+ [x]
(c) For what values of a does lim x→ a [x] exist?