#### Manipulating Taylor Series - Exam Questions

Teachers and students can use these exam questions and solutions to test the information learned.

Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Daniel J. Kleitman, 18.013A Calculus with Applications, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

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## Collection Contents

### Taylor Series I Exam Questions

by Massachusetts Institute of Technology MIT OpenCourseware

Single Variable Calculus Questions 9.1 through 9.6 (and their solutions) cover computing Taylor Series expansions of logarithmic and trigonometric functions. Course: 18.01 Single Variable Calculus, Fall 2005 Instructor: Prof. Jason Starr Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode
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### Taylor Series II Exam Questions

by Massachusetts Institute of Technology MIT OpenCourseware

Single Variable Calculus Questions 18 and 19 (and their solutions) cover finding the Taylor series for ?(1+x) and the inverse tangent function. Course: 18.01 Single Variable Calculus, Fall 2006Instructor: Prof. David Jerison Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode
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### General Power Series Exam Questions

by Massachusetts Institute of Technology MIT OpenCourseware

Single Variable Calculus Questions 7D-1 through 7D-3 (and their solutions) cover 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. Course: 18.01 Single Variable Calculus, Fall 2006Instructor: Prof. David Jerison Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode
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