## anonymous 4 years ago when f(x) does not exist,is the discontinuity non removable?

hmmm...weird question I must say....how can you talk about continuity if the function doesn't exist?

2. anonymous

Perhaps they mean a certain value at which f(x) is not defined?

3. anonymous

yeah @m. carabell

discontinuity in general can be removable....

5. anonymous

The only one that may not be defined on the function f would be infinite, right?

6. anonymous

I mean, there are three types. Infinite, removable and jump. Jump and removable can still be defined on the function, but infinite is usually caused by a 'divide by zero' issue.

7. anonymous

i didn't get any infinte in my answer

8. anonymous

in the 1st function i got =(10) defined then check on the right side and the left side and got 10 and 4 but am having problem on identifying when is removable or non-removable

9. TuringTest

A removable discontinuity is when the finite limit at a point 'a' exists, but does not equal the value of the function at that point$\lim_{x \rightarrow a}f(x)\neq f(a)$

10. anonymous

wat of when it does not exist?

11. TuringTest

if the limit does not exist at the point in question then the discontinuity is not removable

12. anonymous

ok thanks