Science:Math Exam Resources/Courses/MATH110/December 2015/Question 03 (a)/Solution 1

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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 .