A function [math] is said to have a removable discontinuity at [math] if both of the following conditions hold:

  1. [math] is either not defined or not continuous at [math].

  2. [math] could either be defined or redefined so that the new function is continuous at [math].


Show that [math] has a removable discontinuity at [math] by

(a) verifying (1) in the definition above, and then

(b) verifying (2) in the definition above by determining a value of [math] that would make [math] continuous at [math].

[math] would make [math] continuous at [math].

Hint: Try combining the fractions and simplifying.

The discontinuity at [math] is actually not a removable discontinuity, just in case you were wondering.