A function is said to have a removable
discontinuity at if both of the following conditions hold:
is either not defined or not continuous at .
could either be defined or redefined so
that the new function is continuous at .
Show that has a removable discontinuity at by
(a) verifying (1) in the definition above, and then
(b) verifying (2) in the definition above by determining a value of that would make continuous
would make continuous at .
Hint: Try combining the fractions and simplifying.
The discontinuity at is actually not a removable
discontinuity, just in case you were wondering.