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The Signum Function The signum (or sign) function, denoted by sgn, is defined by -1 if x

The Signum Function The signum (or sign) function, denoted by sgn, is defined by sgnx 1 if x < 0 0 if x = 0 1 if x > 0 (a) Sketch the graph of this function. (b) Find each of the following limits or explain why it does not exist. (i) lim sgn x (iii) lim sgn x (ii) lim sgnx (iv) lim sgnxl The Signum Function The signum (or sign) function, denoted by sgn, is defined by sgnx 1 if x < 0 0 if x = 0 1 if x > 0 (a) Sketch the graph of this function. (b) Find each of the following limits or explain why it does not exist. (i) lim sgn x (iii) lim sgn x (ii) lim sgnx (iv) lim sgnxl