(a) Sketch the graph of this function. (b) Find each of the following limits or explain why it does N not exist. (i) lim sgn x (ii) lim sgn x x 0- (iv) lim sgn x| (iii) lim sgn x 48. Let g(x) = sgn(sin x). (a) Find each of the following limits or explain why it does not exist. (ii) lim g(x) (iii) lim g(x) (i) lim g(x) he 0.13 that x→0- (v) lim g(x) (vi) lim g(x) (iv) lim g(x) (b) For which values of a does lim,a g(x) not exist? (c) Sketch a graph of g. br x² + x – 6 ol 10.0021 49. Let g(x) = |x - 2| R worla leimos (a) Find (ii) lim g(x) anonen (i) lim g(x) x→2+ x→2- (b) Does lim,→2 g(x) exist? (c) Sketch the graph of g. prec 50. Let are x² + 1 if x < 1 simileif(x) = ((x – |(x – 2)² if x > 1 olin (a) Find lim,1- f(x) and lim,→i* f(x). (b) Does lim >1f(x) exist? (c) Sketch the graph of f. 51. Let

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