Question: C. Suppose that f:RRis a continuous function. Suppose that g:RRis a function (notnecessarily continuous) such that for some real numbers c,dinR if xin(c-d,c+d) then g(x)=f(x)g

C. Suppose that f:RRis a continuous function. Suppose that g:RRis a function (notnecessarily continuous) such that for some real numbers c,dinR if xin(c-d,c+d) then g(x)=f(x)g agrees with fon the interval (c-d,c+d) but not necessarily outside ofit.,definitionof continuity to prove that gis continuous atc.

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