Unformatted text preview: n n b →∞ both exist and are finite. Then (i) lim lim n n n n ca c a →∞ →∞ = for any real number c (ii) lim( ) lim lim n n n n n n n a b a b →∞ →∞ →∞ + = + (iii) ( 29 ( 29 lim lim lim n n n n n n n a b a b →∞ →∞ →∞ = (iv) If lim n n b →∞ ≠ , then lim lim lim n n n n n n n a b a b →∞ →∞ →∞ = . VI. A bounded, monotonic (nondecreasing or nonincreasing) sequence has a limit....
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 Spring '08
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 Calculus, Limit, lim, Limit of a sequence

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