Continuity at a point means that a function is continuous if the limit of the function as it approaches that point equals the value of the function at that point. This concept is crucial because it ensures that there are no breaks, jumps, or holes in the graph of the function at that specific input value. For a function to be continuous at a point, it must satisfy three conditions: the function must be defined at that point, the limit must exist, and the limit must equal the function's value.
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