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Is the following statement true or false? For a function f that is continuous...

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Is the following statement true or false?

For a function ff that is continuous over the domain interval (a,b)(a,b), and for value cc, where cc is in the interval (a,b)(a,b), we have

\lim_{x\rightarrow c} f(x) = f(c)\lim_{x\rightarrow c} f(x) = f(c).

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