a). Sketch a graph of a function f for which lim x0+ f(x) and lim x0 f(x) both exist but are not equal, and lim x0+ f(x) = f(0).

(b) Determine all points at which the function f(x) = (x^2 + 3x)/ (x^2 + 4x + 3) is discontinuous.

(c) Describe the type of discontinuity at any point(s) in part (a) as being removable, jump, or infinite.