Word Count : 249

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Consider the function ( f : (0,\infty) \to \mathbb{R} ) defined by ( f(x)=\frac{1}{x} ). First, continuity on its domain is shown using the definition of continuity. Let ( a>0 ) be any point in ( (0,\infty) ). For any ( \varepsilon>0 ), choose ( \delta>0 ) such that _________ __________ ___ _________ ___ __________ ____ ________ ________ ______ ________ _________.
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