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Question 1 (a) (b) (C) Find the limits . . v1+zc31 (I) 11m, 17}0 273 (H) 5.133% esinzc _1' Let [3:] denote the greatest integer

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Question 1 (a) (b) (C) Find the limits . . v1+zc31 (I) 11m, 17}0 273 (H) 5.133% esinzc _1' Let [3:] denote the greatest integer less than or equal to 3:. (i) Sketch the function (1)[\"*"][a:] for 0 S a: g 4 and hence evaluate the Riemann-Stieltjes integral 4 / 332d((1)[$][33]). 0 (ii) Use integration by parts to evaluate the Riemann-Stieltjes integral [mama/1). For every p E R, determine whether the integral 0 xptan_1 3:2 f % am 0 1 + 13 is convergent or not

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