Let f be the function defined by f(x)=((ax2+bx+2)/(2x2-8)), where a and b are constants. The graph of f has a horizontal asymptote at y=3, and a removable discontinuity at x=2. 1) Given the above information, find the values of a and b. (Show work)

2) Find limit as x approaches 2 of f(x). (Show work)

3) At what values of x does f have a discontinuity due to a vertical asymptote? Show the behaviour on the left and right side of this asymptote using limits.