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Unformatted text preview: (a) If { s n } and { t n } are divergent sequences then { s n + t n } diverges. (b) If { s n } and { t n } are divergent, then { s n t n } is divergent. (c) If { s n } and { s n t n } are convergent, then { t n } is convergent. 8. Let { a n } be a sequence of positive numbers. Prove that if { a n } diverges to innity then { 1 /a n } converges to 0. 9. Let { a n } , { b n } , { c n } be sequences such that a n b n c n for all n N . Prove that if a n b and c n b then b n b . Page 1 of 1...
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This note was uploaded on 03/18/2010 for the course MATH 317 taught by Professor Behrend during the Spring '08 term at The University of British Columbia.
 Spring '08
 BEHREND
 Math

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