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 2-+00 6+ 2x 6x - 2 lim T--00 23 + 12x - 13 x2- 3x - 12 lim 5- 7x2 /2 + 15x lim 2-+00 6 - 2x 2 + 15x lim 24-00 6-2x Evaluate the limit lim (11 - x) (5+6) 7+00 (3 - 9x) (2+ 7) Enter I for co, -I for -co, and DNE if the limit does not exist. Limit =Evaluate the limit V6 + 822 lim T-+00 (3+ 4x) Enter I for co, -I for -co, and DNE if the limit does not exist. Limit =Evaluate the following limits. (a) lim 2-400 et - 6 3 (b) lim [NOTE: If needed, enter INF or infinity for co and -INF or -infinity for -co.]Evaluate the limit 1 +4x lim 2 900 3 - 11x Enter I for oo, -I for -co, and DNE if the limit does not exist. Limit =Evaluate the limit 3x + 4 lim T-+00 4x2 - 6x + 3 Enter I for co, -I for -co, and DNE if the limit does not exist. Limit =