Determine if the given function can be extended to a continuous function at xequals0. If so, approximate the extended function's value at xequals0. If not, determine whether the function can be continuously extended from the left or from the right and provide the values of the extended functions at xequals0.

Complete Question

The  complete question is shown on the first uploaded image

The correct option is  A

Step-by-step explanation:

Now  from the question we are given the function

Now  as  

       =>    

This  implies that as the function which means that at  x = 0  the function is not continuous  

answer: 0

step-by-step explanation: the positive, like 5, + its opposite, like -5 would be 0

5+(-5)=0, or 5-5=0