For exercises 1-3, determine the vertical asymptotes of each function. Justify your answers by using limits, showing your numerical analysis. x-x-6 1. g(x)= x+5 |2. f(x)=- x-5 x+x-2 3. h(x)= 2x+x-3 x -3x+2 Find each of the following limits at infinity. What do the results show about the existence of a horizontal asymptote? Justify your reasoning. 3x+2-5x2 4. lim x-00 2x-3x-1 3x+5 -2x+5 5. lim 6. x 2x-3x lim X-100 3x+2 Find each of the following limits at infinity. What do the results show about the existence of a horizontal asymptote? Justify your reasoning. 2x+1 7. lim x-x 2 x-x 8. lim -2x+x x002x-3