Science:Math Exam Resources/Courses/MATH100/December 2016/Question 10 (a)
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Question 10 (a) 

Determine whether the following function is continuous at using the definition of continuity. You must fully justify your solution. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

For a function to be continuous at a point in its domain, we must have 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. We check that The lefthand limit is
and the righthand limit is trivially Hence is continuous at 