Textbook ExpertVerified Tutor
16 Oct 2021
Given information
Here given a function,
.
We have to find the value of the constant is the function continuous on .
Step-by-step explanation
Step 1.
The given function is
.
Here, is continuous on and as they are polynomial functions.
Now to check the continuity at , we need to evaluate the left hand limit and the right hand limit.
.
As is continuous in , it is continuous at 2 as well. Thus,
Therefore,
Thus, for to be continuous on , .