3 For the function f (x) = * + 2x-3 x2 - 2x+1 , find lim f(x) . Decide whether there is a hole in the graph or a vertical asymptote at x =1. 15. 3x tax+ a-13 Determine a value of a so that the following limit will exist: lim * - - 2 2x2 + 3x -2 Give also the limit for your value of a. Hint: the bottom (denominator) is 0 when x = -2. The limit can exist only if the top (numerator) is also 0 when x = -2, so that the limit has the indeterminate form