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The signum (or sign) function, denoted by sgn, is defined by sgn x = -1 if x 0 (a) Sketch the graph of this function. No N -4 -2 2 -4 -2 N -2 -21 O O - 4 - 2 2 -2 2 he 4 - X -2 -2 WebAssign Plot O (b) Find each of the following limits. (If an answer does not exist, enter DNE.) (i) lim sgn x x -0+ (ii) lim sgn x (iii) lim sgn x X-0 (iv) lim | sgn x| X - 0 '