Let S be a dense subset of R, and assume that f and g are continuous functions on R. Prove that if f(x) = g(x) for every x in S, then f(x) = g(x) for all x in R. (R = real numbers)
Let S be a dense subset of R, and assume that f and g are continuous functions on R.
Prove that if f(x) = g(x) for every x in S, then f(x) = g(x) for all x in R. (R = real numbers)
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