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Lecture Notes
PDF
Section 3, Page 4 to page 5
Step-by-step method for computing a Taylor series, with example of finding the Taylor series expansion of f(x) = (1-x)-1 about x = 0.
Prof. Jason Starr
Power Series and Taylor Series (sections 1 and 2 of this lecture)
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PDF
Section 4, Page 5 to page 9
Taylor series expansions of (1-x)-1, ex, sin(x), and cos(x) about any point x = a.
Prof. Jason Starr
Power Series and Taylor Series (sections 1 to 3 of this lecture)
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Exam Questions
PDF
Problem 9.1 (page 6) to problem 9.6 (page 6)
Six questions which involve computing Taylor Series expansions of logarithmic and trigonometric functions.
Prof. Jason Starr
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PDF
Problem 18 (page 2) to problem 19 (page 2)
Two questions that involve finding the Taylor series for √(1+x) and the inverse tangent function.
Prof. David Jerison
None
Solution (PDF)# Page 1
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PDF - 2.2 MB
Problem 7D-1 (page 45) to problem 7D-3 (page 45)
Three multi-part questions which involve finding power series for various trigonometric, exponential, logarithmic, and rational functions, in additional to finding the radius of convergence and evaluating four limits using power series.
Prof. David Jerison
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