"Ia Ao Samoa" National University of Samoa HMA121 Calculus 1: Assignment One (10%) Due: 5th August 2022 Show all working out Question 1: Evaluate each limit: a) lim- x2+5x-14 X-2 x2-x-2 (3mrks) b) lim Vx-5 x-25 x-25 (3mrks) c) lim - 2x+x3+2 (3mrks) x-+00 5-2x3+4x2 X, xs-1 x -1s x1 d) f (x ) = x+1 X (6mrks) 1 2 i . lim f(x) x--1 ii. lim f(x) x-2 iii. lim f (x)Question 2 (4mrks) HNWA OI O -7 -6 -4 -3 -2 -1 2 5 6 -2 Determine what type of discontinuity at each point of discontinuous x-values Type -7 -3 2 4 Question 3: The functions f: R - R is defined by: 3 - x 2 a) Sketch the graph (4mrks) b) Determine the lim f(x) for a = -1, 1 and 2 give a reason for your answer for each limits. (6mrks) c) With reasons(s) state whether the functions f (x) is continuous at x = -1, 1 and 2 provide reason or type if discontinuous (6mrks)