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Unformatted text preview: 1 Math 10B. Lecture Examples. (9/1/08) Section 10.1, p. 2 Example 3 (a) Find the second-degree Taylor polynomial approximation P 2 ( x ) of f ( x ) = x 2 centered at x = 0. (a) Show that in this case P 2 ( x ) = f ( x ). Answer: (a) P 2 ( x ) = 1 + 2( x-1) + ( x-1) 2 (b) 1 + 2( x-1) + ( x-1) 2 = 1 + 2 x-2 + x 2-2 x + 1 = x 2 Interactive Examples Work the following Interactive Examples on Shenk’s web page, http//www.math.ucsd.edu/˜ashenk/: ‡ Section 10.6: Examples 1–3, 4a ‡ The chapter and section numbers on Shenk’s web site refer to his calculus manuscript and not to the chapters and sections of the textbook for the course....
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- Summer '10
- Taylor Series, Taylor polynomial approximation