Question

Classify the discontinuities (if any) for the given function.

Answer 1

I think it is a removable discontinuity, but I'm not sure.

Answer 2

When approaching from the left and from the right, you get x=1.

Answer 3

It's a removable discontinuity if the at x = 1, if
lim[x --> 1] f(x) exists but f(1) is not equal to that limit. Is this the case for this function?

Answer 4

No, because it is zero, right?

Answer 5

Uhh, yes the limit does exist, as you said, the limit from the left is equal to the limit from the right, they're both 1.
f(1) exists too, but it's not equal to the limit
Therefore...?

Answer 6

It's removable.

Answer 7

voila :D

Answer 8

Cool. Thanks, zugz.