continuity of a function
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A function is said to be continuous on the interval [a,b] if it is continuous at each point in the interval. Note that this definition is also implicitly assuming that both f(a) and limx→af(x) lim x → a exist. If either of these do not exist the function will not be continuous at x=a .
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Explanation:
A function is said to be continuous on the interval [a,b] if it is continuous at each point in the interval.
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