X + X wal.pdf C:/Users/ibrah/Downloads/wal.pdf | al. O 1 jo 1 MATH 122 - Written Assignment 1 For each problem you should write your answers neatly and carefully on a sep- arate sheet of paper. Do the problems in the given order. When finished, scan or take a picture of your solutions and get them into pdf, doc or docx format. Then upload to canvas in the required place. (1) Find the following limits if they exist. Be sure to show work and write 'lim' in each step until you actually take the limit. If the limit is an infinite limit, please do both the left and right limits. If the limit does not exist, carefully explain why. (a) lim 3 X-+0 (b) lim I'- x - 6 I-+3 x - 3 (c) lim (t + 1) (t + 4) t + - 2 (1+ 2)3 (2) Draw the graph of a function f(r) over the interval [-10, 10] which simultaneously satisfies all of the following constraints . lim f(x) = 2, lim f(x) = 4, f(-2) =4 I- -2- . lim f(x) = 1, f(0) = 0 lim f(x) = oo, lim f(x) = -co. 1-+3 1-+3+ . lim f(x) = 2, lim f(x) = -00, f(6) = 2 1-+6 2-+6+ . f(x) is continuous on the interval [-10, 10] except at a = -2, 0,3, 6. (3) Use the c, 6 definition of limit to show that lim 5r + 3 2 e .Vir. T.T./-9/TV ENG (7: )) D Y Soul lie wisl O