Problem 4. (3 points) Evaluate the limit lim V6+8x2 (3+4x) Enter I for co, -I for -co, and DNE if the limit does not exist. Limit = Problem 5. (6 points) Evaluate the following limits. 3 (a) lim (b) lim -6 [NOTE: If needed, enter INF or infinity for co and -INF or -infinity for -co. ] Problem 6. (1 point) Evaluate the limit lim . 1 +4x 1-+03- 11x Enter I for co, -I for -co, and DNE if the limit does not exist. Limit = Problem 7. (1 point) Evaluate the limit 3x +4 lim x-+0 4x2 - 6x + 3 Enter I for co, -I for -co, and DNE if the limit does not exist. Limit =Problem 1. (15 points) A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the given limit. -9x lim - 1 70 6+2x 6.x - 2 lim 14-09x3+ 12x - 13 x- - 3x - 12 lim 5-7x2 lim - Vx- + 15x x-700 6-2x Vx2 + 15x lim 6-2x Problem 2. (3 points) Evaluate the limit 6x3 + 2x2 - 7x lim - 1 10 5x3 - 2x2 + 2 Problem 3. (3 points) Evaluate the limit lim - (1 1-x) (5+ 6x) 1 -10 (3 - 9x) (2+7x) Enter I for co, -I for -co, and DNE if the limit does not exist. Limit =