Find the x-values (if any) at which f is not contininous. Which of the discontinuities are removable?

Question

anonymous · Answer

Are you adding a post with the function f?

anonymous · Answer

$$f(x)= 1/3x + 1 x \le2$$

anonymous · Answer

gah, typing tihs completely is confusing. sorry. one moment please

anonymous · Answer

No problem, go ahead.

anonymous · Answer

f(x) = 1/3x + 1 when x is less than or equal to 2 and f(x)= 3-x when x is greater than 2

anonymous · Answer

i understand there is a discontinuity at 2, but how can I tell if its removable or non-removable?

anonymous · Answer

Oh, good... you're better off than I thought :)

anonymous · Answer

Except I guess I don't have a good definition of "removable" discontinuity

anonymous · Answer

The fact that the values of f(x) for x less than 2 then "jump" (the discontinuity) when x changes to be equal or greater than 2 makes me think you can't "remove" that somehow, but it might depend on the actual definition of "removable"

anonymous · Answer

:/ still confused