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This is class quiz. Its from Calculus class. Some key points are: Taylor Polynomial, Degree, Approximating, Three Taylor Polynomial, Taylor Series, Summation, Series
Typology: Exercises
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QUIZ 6*
Show ALL your work CAREFULLY.
Consider the function f (x) =
1 + x
(a) Find the degree four Taylor polynomial P 4 (x) for approximating f (x) near x = 0.
(b) Find the degree three Taylor polynomial P 3 (x; 1) for approximating f (x) near x = 1.
(c) Write down the Taylor series (using summation sign, i.e., you need to find the general n-th term of the series) for f (x) near x = 0.
Date: March 7, 2005. 1