Instructions: Symbols have their usual meanings. Attempt any Six questions but Question 1 is compulsory. All questions carry equal marks. Q. (1) Mark each of the following statements true or false (T for true and F for false): (i) For a bounded function f on [a,b], the integrals afdr and ffdr always exist; (ii) If f, g are bounded and integrable over [a, b], such that f≥g then ffdx ≤ f gdr when b≥ a; (iii) The statement f fdr exists implies that the function f is bounded and integrable on [a.b]: (iv) A bounded function f having a finite number of points of discontinuity on [a, b], is Riemann integrable on [a, b]; (v) A sequence of functions defined on closed interval which is not pointwise convergent can be uniformly convergent.