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Continuity
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Which of the following statements is true about the continuity of a function at a point?
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💡 Explanation:
The epsilon-delta definition of continuity states that a function f(x) is continuous at a point c if for every epsilon > 0, there exists a delta > 0 such that if 0 < |x - c| < delta, then |f(x) - f(c)| < epsilon. This definition implies that the left-hand limit and right-hand limit of f(x) at c must be equal.