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Unformatted text preview: i,j > N guarantees dist( p i , p j ) < . ( Hint: see ( Calculus Deconstructed , Exercise 2.5.9)) (c) Show that the sequence is convergent. 7. This problem concerns some properties oF accumulation points (Exercise 2 ). (a) Show that a sequence with at least two distinct accumulation points diverges. (b) Show that a bounded sequence has at least one accumulation point. (c) Give an example oF a sequence with no accumulation points. (d) Show that a bounded sequence with exactly one accumulation point converges to that point....
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
- Fall '08