Science:Math Exam Resources/Courses/MATH102/December 2015/Question 14 (a)
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Question 14 (a) 

Use the graph below to determine the following limits (enter DNE if the limit does not exist):

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 

Recall the definition of limit: if and exist and are equal (), then the limit of at exists and If one of the assumptions is not satisfied, we say the limit doesn't exist. 
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. For this problem its necessary to use the concept of left and right limits and to distinguish between the limit of a function at a given point and the value of said function. 1) , since the values of approach 1 as approaches from the left. 2) , since and . 3) , since and are so by inspection. 4) because and . Answer: 