answer. Use the function below to find any vertical asymptote (s) that exist Justify your h(x) = X2 - 4 x2 + x - 6 ea Limits at Infinity Find each limit at infinity, be able to explain your thinking. lim (x5 + 3x - 4) lim (x2 + 2) (x2 + 9) 3x2 + 5 lim x-+00 2x2 - 3 lim 3x - 5 x-+-cox2+ 3 Remember what we know from Algebra about rational functions: 1. When a factor cancelled from the denominator a occurred. 2. When a factor didn't cancel from the denominator an occurred. Find the one-sided limits'analytically. 1. lim -2x2-2x+12 41-2x2-2x+12 2. lim x-4 x2-6x+8 X-4+/ Xx2-6x+8 x2-2x+5 12- 241) +5_/4 x2-2x+5 3. lim 4. lim 2 (11 - 2 2x-2 2x-2 undefined lim x2-2x+5 __ 50 X-> 1 2( x- 1 ) if x = 0.9 (. 9)2 82 (0.9 ) +5 2 ( .9 - 1 ) = Limit Definition of a Vertical Asymptote