If that g fails to be continuous at any point c belong to c

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Reference no: EM13203620

Let C be the Cantor set defined C=intersection sign on top inf bottom n=0 C_n.Define g:[0,1]->R by g(x)={1 if x belong to C and 0 if x does not belong to C.

a-show that g fails to be continuous at any point c belong to C.

b-prove that g is continuous at every point c does not belong to C

Reference no: EM13203620

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