Question

1. Which of the following statements are true or
false ? Give reasons for your answer. 10
(a) The function f(x) = 3x2+ 5 I x I is
differentiable at x = — 2.
(b) The singleton set {x} for any x E B is an open
set.
(c) Every bounded sequence is convergent.
(d) Every integrable function is monotonic.
(e) The function fix) = cos x is uniformly
continuous on [0, —E 2l