Science:Math Exam Resources/Courses/MATH110/April 2017/Question 08 (a)
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Question 08 (a) |
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The function is approximated near by the second degree Taylor polynomial (a) Find the values of , , and . |
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 formula for computing the coefficients of a Taylor series expansion. |
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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Please rate my easiness! It's quick and helps everyone guide their studies. The second degree Taylor polynomial of near is
As , this becomes
On the other hand,
So it follows that
Hence,
Thus,
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