# Science:Math Exam Resources/Courses/MATH100/December 2011/Question 04 (b)

MATH100 December 2011
Other MATH100 Exams

### Question 04 (b)

Full-Solution Problem. Justify your answers and show all your work. Simplification of answers is not required unless explicitly stated.

Let ${\displaystyle T_{2}(x)}$ be the second degree Taylor polynomial about ${\displaystyle a=8}$ for

${\displaystyle f(x)={\sqrt[{3}]{x}}}$

Is ${\displaystyle T_{2}(8.1)}$ larger than ${\displaystyle {\sqrt[{3}]{8.1}}}$? Please justify your answer.

 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!

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