Proof: f(x) = x is Continuous using Epsilon Delta Definition | Real Analysis Exercises
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Proof: f(x) = x is Continuous using Epsilon Delta Definition | Real Analysis Exercises
We prove that f(x)=x, the identity function, is continuous on its entire domain D, for any nonempty subset D of the real numbers. We complete this proof using the epsilon delta definition of continuity of a function at a point. To do this, we simply take an epsilon greater than 0 and an arbitrary point c from our domain, then go through the ...
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