[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 0 1 . (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 →0sgn x (iv) limx →0| sgn x | | Numerade
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