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Unformatted text preview: a n +1 a n + 1 n 2 , n N prove that ( a n ) n N converges. 4. Prove that if ( a n ) n N is a sequence of real numbers such that | a n +1-a n | converges, then ( a n ) n N converges. Prove that the converse does not hold. 5. Prove that ( a n ) n N converges if and only if (2 a n +1-a n ) n N does. Part 3 6. Problem 4 from page 98. Students registered for 18.100C should write this problem up in LaTeX. 7. Problem 23 from page 101. 1...
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This note was uploaded on 02/15/2012 for the course MATH 18.100B taught by Professor Prof.katrinwehrheim during the Fall '10 term at MIT.
- Fall '10