final - 6. Exercise: 17.3.4 7. (i) Calculate the Taylor...

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Math 3110: Introduction to Analysis, Fall 2010 Final Exam This take-home exam is due Friday, December 17, 2010. You must work independently, but you may use anything from your textbook, notes, and homework. 1. Problem: 14-1 2. Problem: 14-4 3. Exercise: 15.4.3 4. Problem: 15-5 5. Exercise: 15.1.2
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Unformatted text preview: 6. Exercise: 17.3.4 7. (i) Calculate the Taylor series of ln(1 + x ) expanded around 0. (ii) For which values of x does the series converge? 8. Extra credit: If a function f is continuous and f ( x + y ) = f ( x ) + f ( y ), prove f is a linear function. 1...
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This note was uploaded on 09/29/2011 for the course MATH 3110 at Cornell University (Engineering School).

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