Let g(x) sgn(sin x). (a) Find each of the following limits or explain why it does

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Let g(x) − sgn(sin x).

(a) Find each of the following limits or explain why it does not exist.


(i) 

lim g(x) x→0+


(ii)

lim g(x) х>0-


(iii)


(iv)


(v)


(vi)


(b) For which values of a does limx → a g(x) not exist?

(c) Sketch a graph of t.

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