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00fall-minitest1 - that a-b = a n-b n n ∈ Z converges to L-M Bonus Under the same assumptions as above prove that a b converges to L M(Use

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MAT 371 Advanced Calculus / 30 Sep 12, 2000 Minitest 1 name 1. Suppose that a = ( a n ) n Z + and b = ( b n ) n Z + are sequences of real numbers that converge to limits L, M IR, respectively. Using only the definitions of convergence and basic algebraic properties of the real numbers, prove
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Unformatted text preview: that a-b = ( a n-b n ) n ∈ Z + converges to L-M . Bonus : Under the same assumptions as above, prove that a · b converges to L · M . (Use the reverse side for your work.)...
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This note was uploaded on 04/02/2009 for the course MAT 371 taught by Professor Thieme during the Spring '07 term at ASU.

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