Science:Math Exam Resources/Courses/MATH110/December 2011/Question 02 (c)
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Question 02 (c) |
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Is continuous on the interval ? Why or why not? |
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 |
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Recall the answer from part (a) of this question. Does one of those requirements fail? |
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.
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Solution |
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Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. In order for a function to be continuous on the interval it must be defined everywhere. However, in the previous part of the question, we just showed that g is not defined at an infinite number of points. Thus g is not continuous on . |