Definition of Continuity with Sequences! | Real Analysis

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The epsilon delta definition of continuity can be characterized in terms of sequences, just like the definition of a functional limit. Using our previous results about functional limits, we will connect the definition of a continuous function to the convergence of sequences. This also gives us a criterion for determining when a function is not continuous - we need only find a sequence xn converging to c where f(xn) does not converge to f(c). #realanalysis

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