In this problem we consider three functions [math]. The first two are continuous at [math], i.e., [math] The third function is continuous from the right at [math], [math]
In order use the [math] definition to prove the continuity statements, one must give a definition of [math] in terms of [math] such that [math] To prove the right-continuity statement requires a definition of [math] in terms of [math] such that
[math]

For each function in the list below, enter the number (1,2, or 3) of one of these choices
1. [math]
2. [math]
3. [math]
so that your choices establish continuity of the first two functions, and right-continuity of the third function, at [math]. You may use each choice only once.


[math]:
[math]:
[math]: