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Unformatted text preview: be zero. What does this tell you when you get to that point? Hint 2: Try out these steps (and continue them) with some simple examples, such as n = 150 and m = 45. Problem 9
5: Any function X from N to R defines a sequence of real numbers, X1, X2, … The number A is defined to be the limit of Xn as n → ∞ if this is true: For every ε > 0, there is a positive integer N so that for all n > N,  Xn – A < ε. Notation: limn → ∞ X n = A PROVE: If X n =
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Problem 9
6: € 2n − 1
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 Winter '11
 JamesKing
 Math, Integers

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