pra-140b-2

pra-140b-2 - f n converges but not uniformly 8 Can you...

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Math 140, Winter Practice problems April, 2010 Instructor: Professor Ni 1. Page 139: Exercise 10. 2. Page 141: Exercise 15. 3. Page 165: Exercises 1, 2, 3,4, 5, 6, 7. 4. Page 167: Exercises 10, 11. 5. Page 168: Exercise 18. 6. For Theorem 7.12, find an counter-example assuming only that { f n } converges, but not uniformly. 7. For Theorem 7.16, find an counter-example assuming only that
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Unformatted text preview: { f n } converges, but not uniformly. 8. Can you find { f n } on [ a,b ] such that for some x ∈ [ a,b ], { f n ( x ) } converges and { f n ( x ) } converges (but not uniformly), while { f n ( x ) } does not converge uniformly. 1...
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