Question

when f(x) does not exist,is the discontinuity non removable?

Answer 1

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

Answer 2

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

Answer 3

yeah @m. carabell

Answer 4

discontinuity in general can be removable....

Answer 5

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

Answer 6

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.

Answer 7

i didn't get any infinte in my answer

Answer 8

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

Answer 9

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\[\lim_{x \rightarrow a}f(x)\neq f(a)\]

Answer 10

wat of when it does not exist?

Answer 11

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

Answer 12

ok thanks