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

From UBC Wiki
Jump to: navigation, search

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 .


Using

and

,

to have the continuity at , we need .


On the other hand, we have

and

.

This implies that is continuous at when . i.e., .


To sum, the answers are .