Wednesday, February 3, 2010

True or False: If a function is not defined at x=5, then the function is not continous at x=5.?

true or False: If a function is not defined at x=5, then the function is not continous at x=5.True or False: If a function is not defined at x=5, then the function is not continous at x=5.?
True.True or False: If a function is not defined at x=5, then the function is not continous at x=5.?
Yes, that's TRUE. The function is good and continuous for all real values of x Except ';5'; which is missing from f(x)'s domain.
If said function is not defined at x=5, then it is not continuous over any set including this line. for example, this function is not continuous over the real numbers. This is a removable discontinuity, and can be fixed by redefining the function for that point. So true

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