Notation limn x n a prove if x n problem 96

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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 = € Problem 9 6: € 2n − 1 , the...
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