A 4 We consider the sequence of functions (fn)nen with

(a) Show that the sequence of functions against a limit function

f: R -> R converges, and specify the values f(1), f(3) and f(2).

(b) Which of the following limits exist? Justify your answer :)

(i) lim -1 f(x) for x € (1.00).

(ii) lim2 1 f(x) for x € (-1,1).

(iii) lim,1 f(x) for x € R.