Problem 2: Calculate the following limits by writing them as the ratio of their dominant terms. 8 - 4x2 (a) lim x-+00 9x2 + 5x lim 3t7 - 4t2 - 17 (b) t-woo 2t6 + 513 - 13t + 1 lim 17u3 - 2u2 + 6u - 9 u2 + 164 (d) lim 10r5 + 16r4 - 3r + 2 273 - 16 (e) lim -846 + 17y5 + 29 y4 + 32 (f) lim -325 + 24 -423 + 22 - 52 +9 2-+00 225 - 724 + 23 - 822+22-8 (g) lim 1683 - 352 - 7 8 +-00 2583 + 17s + 1 (h) lim V3h8 + 16h5 + 2h + h2 - 17 4h4 + 60h2 - 3 5w2 +9 (i) lim W- -00 3/8w6 - 7w + 24 - w + 1 (j) lim Va6 - 3a5 + 2- at a -too 13a3 + a2 + 1