Give an example for each of the following. DO NOT justify your answer. (i) [2 points] A sequence {an} of negative numbers such that OO an = -00, an R such that lim f(x) =1, lim f(x) = -1. x-+0- x-+0+ (iii) [2 points] A continuous function f : (-1, 1) - R such that f(0) = 0, f'(0+) = 2, f'(0-) = 3. (iv) [2 points] A discontinuous function f : [-1, 1] -> R such that S, f(t ) dt = -1