If $$ f(x) $$ is not defined at $$ c $$, then $$ f(x) $$ cannot be continuous on any interval. True False SUBMIT ANSWER

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The statement is **True**.

To explain:

1. A function $$ f(x) $$ is said to be continuous at a point $$ c $$ if the following three conditions are met:
   - $$ f(c) $$ is defined.
   - The limit of $$ f(x) $$ as $$ x $$ approaches $$ c $$ exists.
   - The limit of $$ f(x) $$ as $$ x $$ approaches $$ c $$ is equal to $$ f(c) $$.

2. If $$ f(x) $$ is not defined at $$ c $$, then the first condition is violated. Therefore, $$ f(x) $$ cannot be continuous at $$ c $$.

3. Since continuity at a point is a prerequisite for continuity on an interval that includes that point, if $$ f(x) $$ is not defined at $$ c $$, it cannot be continuous on any interval that includes $$ c $$.

Thus, the statement is indeed true.
If $$ f(x) $$ is not defined at $$ c $$, then $$ f(x) $$ cannot be continuous on any interval that includes $$ c $$.

If \( f(x) \) is not defined at \( c \), then \( f(x) \) cannot be continuous on any interval. True False SUBMIT ANSWER

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