2. Calculate the following limit: 4 lim 1 2 x- 2 3. Find all vertical and horizontal asymptotes of the following: f(x) = 31 - 2(31) If a particular asymptote doesn't exist, please explain why this is the case, You must show your working to get any marks for this question. Reading the answers off a graph is not sufficient explanation. 4. Let k E R and f : R -> R be the following piecewise defined function, x2 - kx+k x>0, f() = 3 k sin(x) r