Science:Math Exam Resources/Courses/MATH110/December 2015/Question 03 (a)/Solution 1
Recall that exponential functions and polynomials are continuous on the whole real line,. Therefore, it is enough to consider the continuity of function at and .
to have the continuity at , we need .
On the other hand, we have
This implies that is continuous at when . i.e., .
To sum, the answers are .