[Note : sgn k denotes signum function of k .]
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The signum (or sign) function, denoted by sgn, is defined by sgn x={ -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) limx →0^+ sgn x (ii) limx →0^- sgn x (iii) limx →0 sgn x (iv) limx →0|sgn x| | Numerade
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