Unformatted text preview: that { a n } n =1 and { b n } n =1 are sequences of real numbers. (a). If { a n } and { b n } are both bounded, then so is { a n + b n } . (b). If { a n } and { b n } are both unbounded, then so is { a n + b n } . (c). If { a n } and { b n } are both bounded, then so is { a n b n } . (d). If { a n } is bounded, then { a n } is convergent. (e). If { a n } and { b n } are both divergent, then so is { a n + b n } . 6.5: Suppose { a n } and { b n } are sequences of real numbers such that { a n } is convergent and { b n } diverges to innity. Prove that lim n a n b n = 0 . 1...
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 Fall '10
 StevenKlee
 Calculus, Topology, Limit of a sequence

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