Determine whether the following function is continuous at m = 0: 2 f _x__1 ' f() { 1x0 by answering the following questions. (a) Calculate lim f(m) showing all relevant steps. art>0 (b) Calculate lim f($), showing all relevant steps. ac>OJr (c) What do you conclude about lingJ f(:1:), based on your work in parts (a) and (b)? 1) (d) What do you know about f(0) for this function? (e) Does f have a discontinuity at a: = 0? If so, state the type of discontinuity. If not, explain why f is continuous at x = 0