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quiz6solutions

quiz6solutions - Quiz 6 MAA 4224*Introducti0n to Analysis...

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Unformatted text preview: Quiz 6 MAA 4224*Introducti0n to Analysis, Fall 2011 Student’s N amezi7hk¢figé~ E. Hironaka Oct 7, 2011 1. For the following sequence: 1) show it is monotone and bounded7 2) find the limit, and 3) show it converges to that limit. _n+l xn‘n+2‘ U l mmeM: (\H ‘< n+ 1"— ) n+3. m—s Q (n *0 to +33 < Q12) H | “L’t'in‘l'? nLt‘lh-t‘l 3311!.“270. TR».- lm,\\_ __\__ <_.L <.L<9\ Hm hr‘L ‘ NH. VI ‘ N 2. Prove, without using algebraic limit theorems, that if (an) converges to 0, then lim 10a: 2 0 TL—VOO ...
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